Chiefs is a proof of that.
Their RB core underachieved and they used, i think, 7 backs in 2019. So since their team was already good, they could use their 31-32 pick or whatever on a RB.
He was their lead back year 1. Then he was outplayed by an UDFA and then later replaced as a starter by a 7th rounder.
I think the list if first rounders in the latest 10 sb that was playing for the team that drafted them are:
Stewart, Gurley, Edwards-Helaire, Michel.
Edit:
So, two losing the sb and two luxury picks that didn't get a second contract with the team.
Don't draft a RB in round 1.