@Nails it's an interesting discussion. I am reading what you say with an open mind, but I have to come back to the point which it seems some people just don't seem to "get" (sorry I'm honestly not meaning this provocatively- just trying to explain my pov) that acknowledging white privilege doesn't negate other disadvantages people have experienced.
Eg when you said with racism, but in the nicest possible way, I kinda resent being called privileged when I’ve had other, equally significant disadvantages in life This is the attitude I read a lot of posters on here saying and this is where I respectfully disagree. How do you know that your disadvantages have been equally significant? How can that be the case- if say a Black person lived your exact life with all its disadvantages but with the addition of black skin? White privilege doesn't mean that white people have it easy, or never struggle. White privilege means that the fact that you're white will almost certainly positively impact on your life's trajectory in some way, and you probably won't even notice it. The statistics bear this out.
The comment in your post also seems to take the notion of white privilege very personally- when you say you "resent it"- I feel like why would you resent it? Why take it personally? Why can't people not just acknowledge. Eg, I don't know if you are able bodied, but let's assume you are for now. If there was a discussion of the privileges experiences by able bodied people as opposed to disabled people would you still feel this resentment?
I feel like the race discussion makes people feel threatened. To bring out another term which you probably won't like, that's called white fragility. (Again, not trying to be provocative, this is a really important discussion).
I think a lot of white people have been conditioned not to mention people's race or skin colour, in a well meaning way, through their upbringing, because they know that "racism is wrong". They therefore feel awkward and like it's instinctively rude or wrong to point out another person's race - so using the term white privileged taps into that and maybe makes them defensive. White people are often really really passionate about not being accused or thought of as racist- for some reason bring accused of being a racist seems to be a worse accusation than being accused of being a thief or a murderer for example. (Just my anecdotal observations of the tabloids). This is a form of white fragility.
I think there are also underlying reasons for white fragility (not accusing you of any of this by the way) about some white people feeling uncomfortable with the status who changing. Eg it's easy to say "I support equality" but when achieving that equality would mean a person had to actually give up certain privileges it suddenly seems more threatening. We see this dynamic with some men in business for example.
Overall, I just feel that if white people could take part in this discussion without feeling personally threatened (or maybe by simply being honest and acknowledging that they feel threatened) the we would make better progress. It is not a personal comment to say someone has white privilege.