Yes it does, but that's still going to limit how many teams could actually find use for them on their roster.
Pure conjecture and I'm just going to guess to illustrate my point. For the league minimum, perhaps there are 9 teams out there that would put Yoshida on their roster as a DH/pinch hitter type.
Without knowing who those teams would be lets just pick two to further illustrate my point (regardless of actually need) lets say one was the Dodgers and one was the Pirates. The Dodgers could eat the money, the Pirates would want the contract paid down.
My point is, out of those 9 teams, most are NOT going to want to take on the money. So you're left with a very small pool of teams to trade with. So the expectation should be nothing of value for Yoshida, you're probably packaging up a prospect to get him off your books and still paying down a significant part if not all of his salary of the salary.
The value in trading Yoshida is to open up a roster spot; that's it. How much value is adding a bench piece going to make towards the 2025 roster better?
Yoshida on or off the roster doesn't really stop you from signing a starter to play the outfield, whether that was Juan Soto or if it's Teoscar Hernandez. But lets say, with the Hernandez addition, you want a defensive utility player taking up Yoshidas spot on the roster, so you trade his contract.
So what does that look like? They sign Bregman or Hernandez for $25-$30 million and pay Yoshida $15 million to play elsewhere? So you're now paying $40-$45 million dollars just to have that roster flexibility?
Honestly, I think the team would be better by just giving TOP prospect Roman Anthony the job and using that money to sign a front line starter.
I'd be very intrigued to see what the Sox do with a Yoshida trade if it happens, but I just don't think it's very likely. And the fact that he's injured only makes it harder, but if he can't start the season he could start the season off the 40 man....so they'd have that roster spot anyways. If a guy or two goes down a month or two into the season, you might want to see how he looks at DH.