Implied @Inject on a class with one parameterized constructor

Currently, the specification states these limitations on what classes are beans. Namely it mentions that:

It has an appropriate constructor - either
* the class has a constructor with no parameters, or
* the class declares a constructor annotated @Inject.

This effectively means that a class which has single constructor that is parameterized and does not have @Inject annotation on it will not become a bean. In fact, it will blow the CDI up. Just like this class:

@Dependent
public class Foo {
  // no @Inject annotation and no other constructor present
  public Foo(Bar bar) {
  }
}

Could we loosen the limitation and in the above case automatically assume (effectively add) the @Inject annotation?