Those QB's never really had a lot of effect on Davante, unless you are talking about the Packer offense getting more opportunities due to division offenses being so so, for much of his career.
The 2 big changes for Davante this season will be his QB and the players around him. I think both will have positive, as well as a negative effects on his season and may just balance out. While Carr is not the QB that Rodgers is, I think he will be familiar enough with Davante, to get him the ball. I also think that the receivers (WR and TE's) playing around Davante are going to be harder for defenses to cover, than that the Packers through at them in the last 3 or so years. This might give Davante more opportunities. Basically, the Raiders have more weapons than the Packers, but given Carr is the guy playing QB and not A-Rod, that might negate the advantage.