Plus bard gets Jack of all Trades, which helps a lot with skill checks
Hmm.
Jack of all Trades is +1 to all skills you dont have proficiency for, and +2 once you hit level 9.
I mean its very much on theme for Bard. And its certainly not nothing. But its not really much of a gamechanger.
I heard of the claim that in tabletop Bard gets this advantage also on pure Ability Score rolls, i.e. if you roll against Wisdom etc. That would indeed be strong.