What I do notice though is that there seems to be an ingrained anti-Englishness that is slightly grating. For example, although in Carlisle you will get English, Scottish, Welsh, Irish, etc. stuff in shops, including nationalistic stuff; go a few miles north to Gretna and anything marked as English seems to disappear.
I'm also very wary of wearing things like my Audax England jersey for Scottish Audaxes, in a way that I couldn't imagine would come up the other way round. That may be just in my head although I've seen stories over the years (mostly of areas of Glasgow I admit) where being identifiably English has engendered aggression.
As someone who doesn't really have any strong views on nationality, I find petty and unwelcoming.
Certainly in west central Scotland, while there will be some idiots who'll give you abuse because you might be English, it's probably more likely they'll do so because they reckon you are probably a Rangers fan, who seem to think it's a good idea because of all the Celtic fans walking about in their Irish tops....
While on holiday in England a few years ago I got some abuse for wearing a t-shirt I'd bought in Skye (it has a small saltire as well as saying Skye on it), but that apart, everyone else was really nice, particularly the guy we met in Cornwall who said he wished Cornwall could be a bit more like Scotland and fight for independence from the horrible English

.
There probably is some anti-English feeling in the other countries in the UK, but for the most part, there's idiots everywhere, they don't have any consideration for anyone other than themselves and an England top, a different colour of skin, a funny accent or whatever is just a label they can use, and that's all there is to it.
Edited to add: in short, what Rickshaw Phil just said!