"If you think that some words aren't freighted with extra meaning"
That's a red herring, since nobody thinks that.
If master/slave was being used in a way that was overtly offensive and damaging, that would be one thing. But, it's not. Sure, there are people who are offended by the words, but there is no "right to not be offended".
Changing language to avoid offending some people is a nice thing to do, but sometimes the costs of such a change are too high to be worth just being a bit nice to a small percentage of people. In which case, the correct thing to do is not make the change, and let some people be offended.
That said, I don't think (generally) this is a battle worth fighting on either side. The whole thing is just dumb beyond measure.