Xeviat
Dungeon Mistress, she/her
I'm fine with that. Wizards should be skilled at a lot of things; a limited class skill list that has at least 8 skills would make sure there's always a choice even when you have Int 20 (5+2), or even reduce base skills on Wizard to 1+Int or Arcana+Int since they're going to have high int.For example, say INT also gives bonus skills/languages/tools, then you have your Wizards and Artifcers becoming skill monkeys automatically.
Or if you say CHA also gives you a number of Contacts, then you have Bards, Warlocks, and Sorcerers automatically being well connected.
But that's why I think I might do tools and languages only, not skills. Skills are too big in 5E.
As for newbie sorcerer not having contacts because they just left the crib, there would be a difference between set contacts and open contacts. Open contacts are free slots and are flexible because you can add one when it's useful; set contacts would benefit you now.