This is probably over-thinking it, but I was wondering how medical schools view you having done research at a school that isn't their own home institution? E.g. if you did a selective research fellowship at HMS / Stanford / JHU / etc. , would similar caliber schools outside of that school assume you would turn down their school if you were in the (fortunate) position to be selecting among multiple offers, and hence be more likely to turn you down?
If this scenario is a possibility, what is the best way to navigate secondaries so as to seem as neutral as possible / convey that you truly want to go to their school in the app? The school I did a research fellowship (away from my home institution) is not my top choice, so I don't want other schools I'm applying to to assume that if I got into that place, then I would 100% go.
Thanks!