What evidence do you have we can "infer" what 29 other teams thought or that there is an MLB FO consensus? As has been pointed out many times in the Yoshida thread, The Athletic article indicates this has been a move 4 years in the making, and while Kiley McDaniel and Keith Law were saying things like 'holy cow we can't believe it' other sources in the next few days reported that a few other teams weren't that far away but figured they could wait to see where the bidding war went.
As for the projections: it's not just one set of projections! So either all other teams' models are crazy different from all of the model flavors here (
ZiPS, Steamer, and The Bat X all take different approaches) or, more realistically, the Sox just beat the other teams to the punch by trusting their long-researched valuations and making their final offer from the get go.
As this fangraphs piece shows in his year-over-year projections he is likely to decline over the next 5 years, so I doubt he'll be worth a TON more than $90m. But the Sox decided to lock in what they thought was a profitable price point.
I'll also point out Seiya Suzuki, whose stats were remarkably similar to Yoshida's in Japan (if anything they were in a more hitter-friendly league), had what was considered a disappointing year last year and put up a 116 wRC+ (he had two prolonged slumps between a 158 wRC+ in April and a 161 wRC+ in Sept/Oct). His projections for the 3 systems mentioned above for 2023: 135/127/121. I'd argue these give even more credence to Yoshida's projections.