I dislike DH'ing Buxton on a regular basis, for at least three reasons. One, we tried it in 2023 and he had his worst season at bat since establishing himself. Two, he gets injured even when not on defense - 2023 again being an example since he landed on the IL twice. And third, it's waving a white flag of surrender in advance of battle - when he's healthy enough to play CF he's one of the more valuable players in the majors and I'm unwilling to give up on that potential even after this many years.
"Injured" gets treated like some kind of on-off or yes-no switch on a game console. The reality is that anyone's injury is on some scale of severity (and of course injuries to different body parts affect the parts of a players game in different ways). A step up from yes-no would be a percent of capability (still a vast oversimplification), and that's where the calculus for Buxton differs from most players. If Ryan Kreidler is banged up so that he's, say, at 85% effectiveness, you just IL him - he's not a major league player in any sense if he's reduced at all. Buxton, OTOH, might be better at 85% than, say, the OutMan at 100%.
But in addition to the points in the above paragraph, the other flaw in most analyses is that the actual effect of many injuries, on a player's game effectiveness, is simply unknowable. 85% like I alluded to above is BS (I picked those digits for the similarity 😄). The player himself can't tell you, the medical staff or trainer can't tell you, nobody can with any certainty unless there is a bone fragment sticking up through a guy's shin area. Buxton will tell the manager or physical therapist, "I'm hurting, but I can play." He's not a liar and he's not stupid - he simply doesn't know, in a lot of cases, exactly how the way he feels will affect things in the heat of battle. Sometimes he'll say, "I can't go today. But I've been through this before and maybe tomorrow?" Again, he's not a liar and he's not stupid - he's trying to make sense of what his body is telling him, and the trainer can't help him achieve certainty. Sure, if the trainer can respond, "I've seen these before, it'll take two weeks," that's useful - but a lot of times it won't be black and white like that.
So, in sum, I don't want to designate (heh) Buxton as DH. Sure, DH him if it makes sense to give him a day or three to recuperate. But I keep having flashbacks to 2023, when the lesson seemed to be, if Buxton's not good to go in the field, the bat may not be "all that" either.