I just tried to implement this and it did not work, and after looking at the spec even if it did work I don't think it would be portable due to the following language:
Suppose beans A, B and Z all have normal scopes. Suppose A has an injection point x, and B has an injection point y. Suppose
further that both x and y resolve to bean Z according to the rules of typesafe resolution. If a is the current instance of
A, and b is the current instance of B, then both a.x and b.y refer to the same instance of Z. This instance is the current instance
of Z.
The other way of providing this is to provide an extension that uses javassist to create @Dependent scoped proxies, these proxies could then call the producer method on every invocation, however it requires a dependency on javassist.