I disagree, "w3" doesn't have any official connotation, it is literally the name of the thing they are teaching (or the alternate spelling of the abbreviation,

I disagree, "w3" doesn't have any official connotation, it is literally the name of the thing they are teaching (or the alternate spelling of the abbreviation, but same thing). It is a common pattern for a school that teaches [thing] to call themselves "[thing] school", nothing wrong there.