I’m inclined to think the Saints would ideally like to leave this draft w/ Bowers

I'll be honest, the only tight end that Rodgers played with that I can name off the top of my head is Marcades Lewis, and that's only because he played since God was a kid.
Jemichael Finley was one of Rodgers favorite targets when he first came in the league. He had 50+ catches every season (except the season he got injured) . And did you miss 2015? They had TE Richard Rodgers and the commentators thought rodgers to rodgers was hilarious so they said it every time he caught a pass. Seems like it was 60 catches and 8 touchdowns. Jimmy Graham had a couple of pretty good seasons with rodgers in 18/19. Robert Tonyan had 50+ catches and 500+ yards in 2020 and 2022.

Rodgers absolutely will throw to TEs, if they can catch, but has no tolerance for dropped passes.