The Blue Jays weren't a bad offense away from home, as they were 7th in runs per game and 5th by wRC+. They were excellent with runners on base away from Rogers Center as they produced a very good 121 wRC+. Their offensive issues were largely limited to Rogers Center, where they were really 23rd in runs scored and really poor in the clutch in particular with a lousy 83 wRC+ with runners in scoring position. Vlad and Varsho each had very pronounced splits with worse numbers at home, but each of their home issues was limited to RHP only. I think the home run scoring issues have a very good chance to be a weird one off type of issue that won't be repeated and don't see a need to essentially blow up a really large portion of the team.
If you aren't a fan of paying one dimensional players you are certainly willing to pay an extremely high price for a player who very well may need to be a full time DH within a few more seasons. Soto was one of baseball's worst left fielders last season just ahead of the likes of Benintendi (this one is a surprise) and Kyle Schwarber. I still think Vlad has a similar physical talent level but I'm also becoming lukewarm to the idea he's ever going to become the consistent offensive threat his latent talent suggests should be possible. Trading him for the purposes of salary flexibility in return for what's likely to be a very weak return feels very risky as I get the feeling he is very motivated to improve on his poor results in the 2023 season. Given the quality of contact he produces he's likely a very small tweak away from returning to something that resembles the monster numbers he produced in 2021.
Do have any links available that Manoah wants out of Toronto? Atkins is on record that Alek hasn't asked for a trade (that can be taken with a grain of salt) and I don't recall any credible reports to indicate the opposite is true.