If the Jays signed Ohtani, they would have to target alternatives to cover up other holes/areas on the roster rather signing some of the top options available at 3B, LF or DH or look to the trade market. For example, you probably can't target a top FA third baseman like Chapman or Candelario. Instead you have to target maybe someone like Eduardo Escobar or trade for someone like Yoan Moncada (with White Sox eating most of his salary). Depending on where the Jays play Ohtani (DH or left field), you probably don't target bats like Hoskins, Soler, Teo Hernandez or JD Martinez afterwards. Instead maybe you go after someone like Gallo, Brantley, or Heyward who you could platoon with someone or bring back KK or Belt.
If Rogers gives Atkins the green light to spend and go all in with Ohtani, then yeah trade for Soto as well why not haha. Bring in some other top FA's to build around Ohtani as well. But I'm sure Atkins won't have an unlimited payroll so they would have to bargain hunt in other areas.
Would the Jays be better off heading into 2024 with Ohtani, a lesser corner OF/DH bat like Gallo, Brantley or Heyward and 3B bat like Moncada or better with signing some FA's like Hoskins, Soler and Candelario? From a baseball perspective and a marketing perspective.