If ownership and the management team put their best foot forward with a very competitive offer, that's all you can ask for. You can't force Ohtani (or any other free agent) to sign in Toronto just because. There are 30 teams after all. The fact he is even entertaining Toronto as a highly potential landing spot is exciting as it is.
Now, if this was like years back where they operated on a stringent budget while having some of the strongest financial strength to flex and did minimal to try and improve the roster, that's what I would have an issue with.
When Darvish was posted, the Jays were supposedly one of the final candidates, until rumours came out that their offer was nowhere close. That's the type of window dressing I don't like. With Ohtani, I don't think they're window dressing.
Now, on the flipside, I certainly shun on players who frown on Toronto just because it's Canada. If the Jays have a competitive offer that's tops, and the player chose some random U.S. team just because, then it's a big ol' "screw you" from me.