Wars observe other wars' conversation destroyed events

Have two wars in one ear, each with a bean listening to conversation destroyed events:

@Inject
private HttpSession session;

public void conversationDestroyed(@Observes @Destroyed(ConversationScoped.class) String cid) {
	log.infov("Conversation {0} destruction observed in session {1}", cid, session.getId());
}

Begin and end a conversation, see how it ends up getting observed in a second war too.
I'm attaching a simple reproducer. Its output:

2019-12-30 10:48:52,161 INFO  [DestructionObserverWeb1] (default task-1) Conversation 1 destruction observed in session F77Tlp68DuqwjjlGpTS2L3tN61zDUxjBO9vPLJ2v
2019-12-30 10:48:52,161 INFO  [DestructionObserverWeb2] (default task-1) Conversation 1 destruction observed in session F77Tlp68DuqwjjlGpTS2L3tN61zDUxjBO9vPLJ2v

Both beans apparently see the same session! This doesn't make sense. If I open both http://localhost:8080/web1/ and http://localhost:8080/web2/ then there'll be two different sessions.

Reproduced in Wildfly 10.1.0.Final (Weld 2.3.5.Final), Wildfly 18.0.1.Final (Weld 3.1.2.Final).