I believe I know who you are talking about, and A) she was right, and B) she isn’t “snooty,” she’s independent-minded to a fault. Her point was that you shouldn’t waste time worrying about whether people have heard of your kids’ schools.
And how about if you don’t wan’t people to call others ignorant and unsophisticated, you refrain from calling others snooty. Less name calling would be positive in general.