You don't really think they care about winning?
Pretty sure Kopi wants to add one more Cup and this time as a captain. His legacy as a King has been dented a bit because of the team's failures since becoming the Captain. He should be hungry for redemption.
To some extent, I would imagine they care. They are professionals. They can't want to completely waste their time on the ice. They both willingly locked themselves into contracts that they have to know makes them essentially untradeable though, even without the trade protection. With the 2 in their pockets, and the retirement contracts, should the team not contend for 3-4 more years, at some point you have to accept your fate. It's a hard cap league. Can't really go to management in a huff and demand they bring in more talent.
Even this year, we don't know that they didn't, but we don't know that they did go to Blake and tell him that the practices suck. It seems like whatever leadership is on the team, accepted how bad they would be, from very early on. I don't know if any leaders have ever done something like that, so it might not be fair to use that as an example of what we're talking about. However, it has been something I've wondered about. Practice has nothing to do with the reality of the cap. I guess telling teacher that practices suck undermines the head coach, but they've already done that to at least 3 guys, so whatever.
I don't know what it's like to be paid a guaranteed $10m a year to do something. I also don't know what it's like to even have a chance to earn a non-guaranteed $10m to do something. We have seen Kopitar and Doughty break a lot of sticks over the net the last few years. We've seen them beaten down by having to play a lot, and also not winning important games, and then whatever the 18-19 season was. They must care, because they wouldn't be where they are without that drive. They also have a lot of money coming to them whether they win or lose, or put up points, or whatever else. I was mostly just messing around with the gif, but since you asked...