Hmm, I'm not sure I understand you clearly in this statement. The number of choices you have doesn't have anything to do with how responsible you are for the choices you make. We could say that when you are more free and responsible, you have more room for choices since you can be responsible for the choices you have, in contrast to a set of given choices. Ultimately, every individual has the possibility to be free in any choice, since even if you have some imposed set of choices, you can freely choose to reject all of them.

Taking responsibility makes you unfree, right? It‘s a commitment you make before you act (or after). You choose to limit yourself, either freely or by pressure. I think of responsibilty as a quota. And everyone can only take on so much. If you have many choices, the outcome probably doesn‘t matter so much. So less responsibilty waits on the other side for you, while most waits on the other side of a binary choice, because it limits perfectly. Do or do not.