Gibb's point seems to have been that he takes offence without caring about the speakers' or writers' intention, or the conventions in their country. Thus, if you do not care about his taking offence, you may well use any word you like. Conversely, any negative feeling you or others may have when addressed as a "Brit" cannot be dismissed by lack of intention.

A usage can be seen as inappropriate even if nobody feels insulted.

As for "yankophile", or "frogophile", "krautophile", "polackophile" - humour has some limited licence provided it is really funny and every witness understands it. I am a great fan of good English humour, even if playing on the worst clich&eaucte;s, but I lived in England as a foreigner long enough to have seen all kinds of most primitive abuse falsely excused as humorous. (When a British journalist wrote a really funny satire about Morris dancers, the usual English Mudcat suspects whined with pain ...)