Never really cared honestly. I've found styles, when looking, that remind me of another art style. Say someone has a disney-esque style, I'll notice it. I don't think those are things to see as insults, it's just insight.
If someone was to say I had a similar style to another artist, I'd be interested in what elements overlap for someone to think that. And whilst I understand why someone may dislike that kind of comment, I think it's too negative a perspective on the feedback. Do keep in mind most people don't know how to look at art down to the lines and curves, but they can feel when styles are similar (or they recognize someone's work).