CDI request scope is not active during remote EJB method invocation

The JSR-299 clearly states that the request scope is active:

during any remote method invocation of any EJB, during any asynchronous method invocation of any EJB, during any call to an EJB timeout method and during message delivery to any EJB message-driven bean

But in AS 7.1 CR1 the following exception occurs (CalculatorBean is a trivial stateless EJB that injects a request-scoped CDI bean):

ERROR [org.jboss.ejb3.invocation] (pool-9-thread-2) JBAS014134: EJB Invocation failed on component CalculatorBean for method public abstract int example.Calculator.subtract(int,int): javax.ejb.EJBException: org.jboss.weld.context.ContextNotActiveException: WELD-001303 No active contexts for scope type javax.enterprise.context.RequestScoped
at org.jboss.as.ejb3.tx.CMTTxInterceptor.handleExceptionInOurTx(CMTTxInterceptor.java:166)
at org.jboss.as.ejb3.tx.CMTTxInterceptor.invokeInOurTx(CMTTxInterceptor.java:230)
at org.jboss.as.ejb3.tx.CMTTxInterceptor.required(CMTTxInterceptor.java:304)
at org.jboss.as.ejb3.tx.CMTTxInterceptor.processInvocation(CMTTxInterceptor.java:190)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.ejb3.remote.EJBRemoteTransactionPropogatingInterceptor.processInvocation(EJBRemoteTransactionPropogatingInterceptor.java:80)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.ejb3.component.interceptors.CurrentInvocationContextInterceptor.processInvocation(CurrentInvocationContextInterceptor.java:41)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.ee.component.NamespaceContextInterceptor.processInvocation(NamespaceContextInterceptor.java:50)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.ee.component.TCCLInterceptor.processInvocation(TCCLInterceptor.java:45)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.ejb3.component.interceptors.LoggingInterceptor.processInvocation(LoggingInterceptor.java:57)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.invocation.ChainedInterceptor.processInvocation(ChainedInterceptor.java:61)
at org.jboss.as.ee.component.ViewService$View.invoke(ViewService.java:165)
at org.jboss.as.ejb3.remote.protocol.versionone.MethodInvocationMessageHandler.invokeMethod(MethodInvocationMessageHandler.java:283)
at org.jboss.as.ejb3.remote.protocol.versionone.MethodInvocationMessageHandler.access$200(MethodInvocationMessageHandler.java:61)
at org.jboss.as.ejb3.remote.protocol.versionone.MethodInvocationMessageHandler$1.run(MethodInvocationMessageHandler.java:191)
at java.util.concurrent.Executors$RunnableAdapter.call(Executors.java:471) [:1.7.0]
at java.util.concurrent.FutureTask$Sync.innerRun(FutureTask.java:334) [:1.7.0]
at java.util.concurrent.FutureTask.run(FutureTask.java:166) [:1.7.0]
at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1110) [:1.7.0]
at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:603) [:1.7.0]
at java.lang.Thread.run(Thread.java:722) [:1.7.0]
at org.jboss.threads.JBossThread.run(JBossThread.java:122) [jboss-threads-2.0.0.GA.jar:2.0.0.GA]
Caused by: org.jboss.weld.context.ContextNotActiveException: WELD-001303 No active contexts for scope type javax.enterprise.context.RequestScoped
at org.jboss.weld.manager.BeanManagerImpl.getContext(BeanManagerImpl.java:598)
at org.jboss.weld.bean.proxy.ContextBeanInstance.getInstance(ContextBeanInstance.java:71)
at org.jboss.weld.bean.proxy.ProxyMethodHandler.invoke(ProxyMethodHandler.java:79)
at example.Subtractor$Proxy$$$_WeldClientProxy.subtract(Subtractor$Proxy$$$_WeldClientProxy.java)
at example.CalculatorBean.subtract(CalculatorBean.java:21)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method) [:1.7.0]
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:57) [:1.7.0]
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43) [:1.7.0]
at java.lang.reflect.Method.invoke(Method.java:601) [:1.7.0]
at org.jboss.as.ee.component.ManagedReferenceMethodInterceptorFactory$ManagedReferenceMethodInterceptor.processInvocation(ManagedReferenceMethodInterceptorFactory.java:72)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.invocation.InterceptorContext$Invocation.proceed(InterceptorContext.java:374)
at org.jboss.as.weld.ejb.Jsr299BindingsInterceptor.doMethodInterception(Jsr299BindingsInterceptor.java:122)
at org.jboss.as.weld.ejb.Jsr299BindingsInterceptor.processInvocation(Jsr299BindingsInterceptor.java:130)
at org.jboss.as.ee.component.interceptors.UserInterceptorFactory$1.processInvocation(UserInterceptorFactory.java:37)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.invocation.WeavedInterceptor.processInvocation(WeavedInterceptor.java:53)
at org.jboss.as.ee.component.interceptors.UserInterceptorFactory$1.processInvocation(UserInterceptorFactory.java:37)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.jpa.interceptor.SBInvocationInterceptor.processInvocation(SBInvocationInterceptor.java:45)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.invocation.InitialInterceptor.processInvocation(InitialInterceptor.java:21)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.invocation.ChainedInterceptor.processInvocation(ChainedInterceptor.java:61)
at org.jboss.as.ee.component.interceptors.ComponentDispatcherInterceptor.processInvocation(ComponentDispatcherInterceptor.java:53)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.ejb3.component.pool.PooledInstanceInterceptor.processInvocation(PooledInstanceInterceptor.java:51)
at org.jboss.invocation.InterceptorContext.proceed(InterceptorContext.java:288)
at org.jboss.as.ejb3.tx.CMTTxInterceptor.invokeInOurTx(CMTTxInterceptor.java:228)
... 25 more