Except, Yale is a private university, not public, while very few universities in the UK are private (https://en.wikipedia.org/wiki/Category:Private_universities_... lists 8 and https://studying-in-uk.org/private-universities-in-uk/ lists 11) so 2b3a51 almost certainly means public college teaching experience in the UK.

your first link implies the definitions of "private" are different.