I have a screen protector on my iPad mini, though I think it's a little overkill given that I have a folio cover on it also. But at least I know it's not causing any problem with sensitivity, having tried a stylus with and without it.
I, too, have a Lynktec TruGlide Pro (based on an earlier recommendation by GerritV), and find it's way better than any rubber tip model which tend to stick and stutter.