The thing is....lots of things are offensive to someone. Hell, when I worked at a university we assigned usernames as first initial, last name truncated to 5.... we got a special request one day: "Please change this users username, as it is a swear in his native language".

Honestly, I never considered "Lynch" a particularly racially charged word itself, and only within the past few years found out some people found it particularly offensive. That is part of the issue.... all symbols exist in the mind of the beholder.

I feel like the most diplomatic solution is always the most bone headed; and exactly what OP proposes. Only statements clearly OOC should be subject to such warnings.

Saying the name of your corp without any statement indicating its anything else is an IC activity fully within a legitimate context.

If only one or a couple of people mentioned the real life events, they are the ones who should be spoken to about it. However, I do think an offer should be made to the corp to ask them "Do you want to change your name to something less likely to cause misunderstandings?"

However, there are a million ways to be offended so, I don't think that sort of change should need to be mandatory; just a courtesy to avoid friction.