But I too have been followed around and grabbed by security guards - I'm not black but I'm not white either. I'm mixed race and don't choose to say in what way, but I don't put this treatment down to not looking like your average Brit. I do have white, very British looking friends who've had the same thing happen too. It's not all, always about race.
I do understand white privilege, it definitely exists even if, as a non-white person, I don't feel it has disadvantaged me particularly.
One point I can't get past, however, is the memory of my best friend at school for many years. Both of us mixed race but different mixed races, if you see what I mean. We pretty much got the same treatment. Both of us got stupid names shouted at us by stupid kids on occasion etc., but we handled it very differently. I always felt it was obvious when a person was being deliberately racist as opposed to clumsy or insensitive in how they spoke to me - I found it a great way to weed out the dickheads from the people I might want to know, to be honest. I knew when comments were genuinely meant as a put down due to my race.
In the same situations my friend 'played the race card', every time. When last to be picked for a team I put it down to being shit at that sport rather than to looking different to the other team members whereas again, she wanted to make it a race issue every time, including sometimes and unnecessarily on my behalf. Funny how she didn't have a problem with people's treatment of her race when she was picked first because she was good at that sport.
I could give you a hundred examples. Decades later if anything goes wrong for her she puts it down to race. I recognise that it usually happens due to poor decision making on my part but I do also look at the way she lives and think that if she put as much time and effort into working/doing her housework/ whatever it is that's going wrong for her at the time as she puts into calling racism at every opportunity, then she would have had the time and opportunity to get it done properly in the first place.
No doubt there are plenty on this thread who will say that's my WP privilege talking (because part of my mix is white), but I have the same amount of whiteness she did. The difference I saw was OUR attitudes towards it rather than other people's.
I get that WP is a huge problem for many black people but what I don't know is quite what you want the rest of us to DO about it. I feel I don't treat others differently based upon the colour of their skin but focus instead on how they behave. Most decent people claim to do the same. Of course you get some arseholes who treat others badly and yes, that can be because of the colour of their skin, but you do also get black, brown, whatever colour arseholes. I try my best to practise colour blindness, I accept that white privilege exists and am happy to point it out if I see it and happy to (loudly) call out genuine racism when I see it but please be specific on what else exactly you want me to do!