This is a very interesting definition of "free will" and not one I would expect most philosophers to agree with, but more measurable and useful than most would propose. In this case "free will" reduces to self-modifying action with randomness injected by the environment, which feels more like a stochastic model than genuine self-determination. That said, the existence of a "reflection" function is still the primary determinant of any moral responsibility.
It's really just a restatement of compatibilism, which has been the major position in philosophy for a long time. And I think, in practice, what most people actually think.
Only somewhat recently have philosophers intuitions changed a little more to incompatibilism.
