As before, to me it is more relevant why there are these options (they arise naturally from the situation), what they are, and who decided what options are available.
So you will still have to narrow this down. Having two ‘realistic’ options is still better than having one ‘realistic’ and four ‘unrealistic’ ones, where ‘realistic’ refers to probable chance of success or desirability of the outcome
I guess in summary I can say that no, in most cases the number of options has no impact on agency to me, provided that number exceeds 1.
If you try hard, you can probably construct a scenario where it does, but outside of that… I disagree with the simple equation of more options = more agency
Also, all of this assumes the players cannot simply say ‘I do this instead’ and ignore whatever options you presented, which is an option in most cases