I always think it is funny that people on here say true aristocrats are never snobby, when apparently amongst many in the upper class, Carol Middletons nickname is door-to-manual. An example of crashing snobbery
In fairness, while it's possible this is true, it's equally (or more) possible it's an unpleasant tabloid 'factoid' invented because at some level there's a huge amount of resistance to the (again, possible media myth) of Carole Middleton raising her daughter to set her cap at the future king and inveigle herself, or at least her grandchildren, into royalty. I find people in this country quite resistant to what they consider 'social climbing' even if they appear in favour, in theory of 'social mobility'.
And yup, it's hilarious to regularly hear on Mn the old chestnut that the UC aren't snobbish, and are generally delightful and hail fellow well met with everyone, when they're as liable to be lovely or to be bastards as anyone else.
I do think, though, that they are generally highly unlikely to judge on the absence of the kind of visible displays of wealth the OP seems to be describing, when in fact a shiny white 4x4/permatan/expensive dentistry/flash clothes etc etc would code as 'nouveau riche' for them.