Never had any problem myself (Born in PMH Akrotiri) and, of course, as a UK citizen there is no visa requirement to travel to the US (except recently for those that have visited Iraq, Iran Syria and others in the last 6 years). On the other hand, if my mother had not been CASEVAC'd to Cyprus, in late pregnancy, things might have been different as I'd have been born in Libya (father based in Tobruk)!
My understanding was that being born 'outside of the United Kingdom' disqualifies one from 'visa free entry' to the USA.
This was the problem that my friends child had.
Must amplify, it is all hearsay as I have a 100% UK born of UK parents, plus 6 documented generations, UK passport, and always travelled to and from the USA on a B2 visa.