It's not always nonsense, but it's important to unpack the different aspects of the situation.

The first aspect is a personal one: as an individual, what attitudes are beneficial to your future? There, the answer is fairly clear, mostly from psychology: holding a growth mindset, and an attitude of self-reliance, is better for pretty much everything--mental health, physical health, resiliency, educational attainment, financial security, etc. etc..

If you're not white, might some people have attitudes that get in your way sometimes? Yeah. Will it stop you? No.

If you are white, might some people sometimes have more favorable attitudes towards you than you deserve? Yeah. Does that mean you should relax, take it easy, life's set for you? No.

So, from the individual perspective, the entire idea of "white privilege" is a drag on success for everyone. Not a thing to organize one's life around.

However, there is also the second aspect, which is: are there any systemic factors that favor one race over another? And there the answer is, yes, there still are some. The best single collection of evidence I know of on Medium is, bizarrely, from a Norwegian (living in Norway!): https://medium.com/@erik-engheim/proof-of-systemic-racism-in-america-b8b93c0091d2

These add up to an overall advantage, on average, for right now, of being white in the United States (for no other reason than simply skin color).

While these problems should be addressed one way or another, however, the follow-up question is extremely important and often isn't asked: even if the playing field isn't always exactly flat, isn't always exactly fair, is it unfair enough so that you shouldn't play the game?

That takes you past simply documenting that something exists to asking about effect sizes (and also causes--is it direct or indirect-and-mediated-by-something-you-can-control)?

In most cases, the answer is: there's a big enough effect to measure, but as an individual your effort makes so much more of a difference that you should absolutely play the game.

So there's a divorce between the attitude we should have as individuals and the perspective that may help us architect a better society. The flaw has been in thinking that pushing the latter into the forefront of consciousness of everyone is a good idea. It usually isn't. On an individual level, we need to take responsibility, give people the benefit of the doubt, celebrate accomplishments. This doesn't mean that we as a society should fail to improve the big picture — it could be better. But if noticing that the big picture isn't quite perfect makes all the little pictures worse, the big picture gets worse overall, which is worse yet.

So, a long-winded way of saying: I think you're basically right in outlook, but for somewhat more complex reasons than you gave.