It was never the case. In my experience, we can partition people into three groups: (a) "Why would anyone do that?"; (b) "What's wrong with doing that?"; (c) "People obviously do that." People from groups a and b tend to consider members of group c "sensitive", because members of group a don't recognise members of group b (considering them members of group a, if they even think about it) so believe group c are overreacting to imagined slights, and members of group b don't care because they don't think group c's objections should be sustained. Members of group c can usually distinguish between members of groups a and b, but it's such an uphill battle to convert members of group a into members of group c that it's rarely worth doing. (Members of group c often find it hard to empathise with members of group a, because "how can anyone be that obtuse?" – and members of group a often consider it the responsibility of group c members to do all the work of teaching them, because "you're the one with the extraordinary claim: that requires you to provide extraordinary evidence".)

I try to be a member of group (d): "I suspect that might be a problem, so why don't we talk about that?". This behaviour is very annoying, but it's clearly better than groups a, b or c. (In practice, though, I'm usually a member of group a, occasionally a member of c, and probably group b about loads of stuff I've never thought about.)