CDI model doesn't load beans from indirectly dependent projects

EXECUTE: Create three CDI projects:
Project1
Project2 (depends on/exports Project1)
Project3 (depends on Project2)
EXECUTE: Create a @Named bean in Project1: @Named("bean1").
EXECUTE: Create a @Named bean in Project2: @Named("bean2").
EXECUTE: Create a @Named bean in Project3: @Named("bean3").
EXECUTE: Perform full build for all the projects.
EXECUTE: Try Ctrl+Space in a EL like #

{bean|} in any page of Project1.
ASSERT: There is the only bean "bean1" available. It's good.
EXECUTE: Try Ctrl+Space in a EL like #{bean|}

in any page of Project2.
ASSERT: There are bean "bean1" and "bean2" available. It's good too.
EXECUTE: Try Ctrl+Space in a EL like #

{bean|} in any page of Project3.
ASSERT: There are bean "bean1" and "bean2" and "bean3" available. Everything is fine so far.
EXECUTE: Restart your Eclipse.
EXECUTE: Try Ctrl+Space in a EL like #{bean|}

in any page of Project3.
FAILURE: There is the only bean "bean3" available! It's a bug.
EXECUTE: Try Ctrl+Space in a EL like #

{bean|} in any page of Project2.
ASSERT: There are bean "bean1" and "bean2" available. Ok.
EXECUTE: Try Ctrl+Space in a EL like #{bean|}

in any page of Project3.
ASSERT: There are bean "bean1" and "bean2" and "bean3" available again. So it's working now!