That's the player's choice. It's not the team's choice forced on the player.
Going backwards, but in order for this to be explained:
Teams in the regular season are restricted to no more than 23 players on the Active Roster. To add a player to the 23, someone has to come off via trade, assignment to outside the NHL, release of the player [only allowed in very select situations], or assigning someone to Injured Reserve.
LTIR is a subset of Injured Reserve that can only be utilized when (1) a player is going to miss at least 10 games and 24 days, and (2) the team is sufficiently close to the cap that it can't recall a player without going over the cap.
In the playoffs, there is no limit on the Active Roster; thus, there's no need for IR - and if IR doesn't exist, LTIR doesn't exist either. It could theoretically exist, but it would be pointless: it doesn't impact adding players to the Active Roster, and currently the cap does not exist in the playoffs [there is no daily accrual, because team's aren't in the playoffs the same amount of time].
I have no clue; I'm not Mark Stone, nor am I an NHL player. Ask him or an NHL player.
I'm sure sports ethics literature is littered with riveting stories about this. What this has to do with reality and the "knowledge" that teams are making up injuries and faking their severity and duration to game the cap, examples of which are still to this day nonexistent, I don't know.
Again, because players decide this. Not teams. This is like saying "I can't believe people sign themselves out of hospitals AMA" [which happens] and then arguing "doctors should be able to force people to get treatment for [whatever] even if the person doesn't want it," which no one in their right mind would think is OK.
You're ... so ... close to getting it.
Are we testing him daily for that? Are we doing that for every player who has an injury that might get healed around the playoffs? Should we have shot x-rays on Patrick Kane's collarbone in 2015 to find the exact day it was healed, then stamped "No Longer Broken" on a piece of paper and handed it to him and had him escorted to the dressing room for the next game and put under guard to make sure he dressed and played?
I'm trying to understand how far we're taking this "need" to "make sure" players are really healed and not faking injuries vs. their rights as a medical patient and the potential long-term health hazards of subjecting them to repeated tests and procedures, so that we make sure guys are playing when they're supposed to and not a moment later.
So, we'll either test the shit out of him because it's easy to determine when he's good to go, or it will be like art: we'll know if he's healthy when we feel it in our spirit, or something.