"neither of the Irish or Scots were Celts"--I beg to differ--some of them were. The British Isles are still calle the Celtic Fringe by "Celtic" scholars. No, not all of them were. Danes, Jutes, Angles, Saxons, Normans, etc.

I would agree that there is no "Celtic" music but a lot of people call it that and most of us know what it is supposed to mean.

Other than that, yes, there is still English music out there (whatever you mean by English........Anglish maybe?) Brighton Camp/Girl I Left Behind is definitely not Irish etc.