Lol yeah. You are probably best off thinking of x-hat as a completely different letter to x, where x-hat is useful because it looks like x, and so you can talk

Lol yeah. You are probably best off thinking of x-hat as a completely different letter to x, where x-hat is useful because it looks like x, and so you can talk about an object x-hat that has some relation to the object x without losing track of which objects you are talking about. x-dot and x-tilde are also in the same family and I'm sure there are lots of other symbols that people have put on top of x too.