In school, perhaps so. But looking at something like https://ur.wikipedia.org/wiki/اردو, there's scarcely more than a handful of short vowel marks (zabar, zer, pesh, or fatha, kasra, damma as an Arabic speaker would call them) anywhere on the page; the vast majority are left unwritten.
While I'm not 100% sure, I think it _might_ be the case of writing Urdu online vs on paper. I'll try to grab an Urdu book or newspaper tomorrow and see how it is written. Thanks for the insight, this was very interesting.