No problem. And I couldn't quite follow your second question, so if you're still looking for another measurement, try and clarify and let me know.
My Whitefox came from the second drop on Massdrop and the stock caps were Cherry profile. (Keep in mind there's been a few editions now and the profile of the stock caps could easily change from time to time, I'm really not sure.) Cherry seems to work for me, but preferences on things like that can be rather personal.
At the moment I'm using a set of JTK keycaps, which is also Cherry profile.
For fun I tried popping on a DSA keycap and measuring that. Approximately 25mm from base to the highest point on the keycap. It's not that much shorter, but if space is tight, it could be an option.
I'm not sure what you've come across for info in your research, but this pic may help. It shows some of the different profile options on a flat plain.