I took "it's offensive" to mean, basically, "this actual word is triggering all sorts of unpleasant shit and it's seriously hindering the conversation even though we basically agree; can we be mindful please?" Which, well, fair enough, no?
I think this really depends. There is a sense in which I'd say, yes, if a word is causing problems why not just drop it.
But I think that sort of demand is happening a lot, in a lot of different contexts, with the question of really looking at the nature of the upset itself being set aside without real examination. There is an increasing tendency to create these sets of taboo words or taboo settings to use them or to say that words and comparisons belong to certain people by virtue of this racialised ideology. This whole tendency seems to me to be very questionable and reduces our ability to talk about things and analyse them, and just think about them. Often we learn more about things by comparing and contrasting with other phenomena, or by using something someone is quite familiar with to give a sense of a situation they are less familiar with.
In general, by strong inclination is to resist these kinds of demands to create taboo language and phrases without extremely strong reasons.
In terms of individuals who find it painful to talk about certain things, sure. In individual personal conversation, sure, though it's not easy to know what will bother people. But at the same time in a more theoretical discussion on a serious topic, or in a class, or article, I'm not sure that kind of personal sensitivity has much place.
I still think that if someone thinks the comparison isn't relevant, they should argue that, and if its a strong element there should be no need to bring this business of offence into it.