I think less.
Largely because 1) there will need to be an AL team that thinks they have some post-season chances but lack a DH, which is the easiest position to fill, 2) even with some subsidization, JD's contract is still pretty expensive, especially since he is not going to opt out after this season, and 3) as he is not opting out, and the Sox get Sale back in 2022, if JD is hitting well enough to be considered actual valuable trade bait, then why wouldn't they keep him in the plans for 2022?