Personally I think @Pooled/@PoolScoped is best in CDI. The remainder of the EJB functionality can be pretty cleanly farmed out between Java EE Concurrency and JMS/JCA.
Despite the fact that we seem to want to make CDI somewhat smaller, I think this is indeed a very good suggestion. Thx! @Pooled feels basic enough to warrant being in CDI core indeed.
Things like the build-in beans for Principal and HttpServletRequest should really be moved to the specifications that own these artefacts in the first place. I already proposed for Java EE Security taking ownership of the Principal build-in bean.