"How would you like it if X..."

Sounds like an Appeal To Pity Fallacy

This sounds like s form of ad hominem as the argument is changed to something regarding the interlocutor rather than the merits of the original argument.

If I understand correctly, the claim is that if you wouldn't benefit from a policy, then the policy shouldn't be implemented. Clearly, this is poor reasoning. Policy implementation should consider as many factors as possible, and how people like them is only one factor. Besides a generic Non Sequitur , it also sounds like an Appeal to Emotion where the emotion can be any emotion invoked by imagining how the policy would affect the person.

I would suggest this is a twisted form of the tu quoque fallacy. Tu quoque is a "you too" argument - "well, you did the same thing that you are complaining about last year, so your argument against is therefore invalid". So if the original argument is made about some proposed policy, such as the example by Rationalissimo, if the person making the argument responds to the questioner with "Well, I wouldn't like that", then the responder can make the argument that the policy is bad because it is hypocritical - "the policy is good if applied to them, but not if applied to me".