I often find that the wealthier/more classy someone is, the less of a snob they are! The owner of the nursery that my children used to go to is very very rich with a country estate, she was privately educated and has 3 children at a very expensive boarding school yet she is the most down to earth, lovely, warm person you could ever meet, with no airs and graces and certainly no judging anyone.
By contrast, a mum that I know through my DCs school is a total and utter snob. She talks loudly about how she would never dress her children in primark, Asda or Tesco clothing and that it has to be Joules or Boden (and of course has to tell everyone the cost of everything), and has very Katie Hopkins-esque opinions on who she will let her children mix with and invite to their parties. She has made rude, put-down comments about someone's car being old, and is just generally sneering down her nose at people. Oh and she always slags off Aldi too when any of us mention we have been there that day! The irony is that she lives in a tiny ex local authority house on a really dodgy estate, and actually probably doesn't have a pot to piss in, yet thinks that she is above others.
I have known a couple of other very snobby mums in the past too, very sneery and judgemental, and neither of those ever had anything to be snobby about either!