I flew back and forth from UK->US between 2004 and 2008. Probably 40 or so times. Never had an issue with immigration :/ I think they're fairly fine with it as

I flew back and forth from UK->US between 2004 and 2008. Probably 40 or so times. Never had an issue with immigration :/ I think they're fairly fine with it as long as you look confident and know what they want to hear.