You don’t need to be top 10% to transfer. In very good, but not great, law schools top 10% will often stay (you are better off as top 10% in Georgetown, than top half in NYU or Columbia).
Top 33% in Georgetown or Cornell can easily transfer (I know many who have done it). And I think some people can be confident in their abilities to be top third.
I am curious to know your basis for concluding that Cornell is better than Georgetown.