Does transferring from one ‘Hidden Ivy’ to another act as an edge in any way?

In your other thread you said you want to transfer from Vassar to Amherst. A quick look at their institutional research shows that Vassar considers Amherst a peer, but Amherst doesn’t list Vassar among it’s peers. So I don’t think the Vassar name on your transcript will be a hook or a tip.

Your reasons for transferring are good ones. If you can’t get into the courses you want and that’s preventing you from declaring the major you want then transferring is a good plan. Just make sure you have academic/financial safeties and matches on your list.