"Lack of a player elimination mechanic" is nearly ubiquitous in action games. Players can be killed, but never bumped out of the game; you just respawn in a few seconds and try again. The penalty is that you're unable to harass the enemy team during the respawn delay and the run back from the spawn point.
Elimination deathmatch modes exist, but they're usually an optional mode, and even then calibrated so matches take no more than a few minutes.
Not so, PUBG is one of the most popular games right now and is based primarily around player elimination. Though they don't make you wait around to see the end of the match.
I'm not sure what you are are "not so'ing"? Are you suggesting the PUBG model is ubiquitous? I mean, sure, PUBG is popular, but it's popular because once you are dead, getting another game is less than 60 seconds away.
But saying PUBG model is ubiquitous? No, the die and respawn is in fact the common model, and I don't see that changing outside of battle royale style games.
Fair enough, although that last is also a good point. Rust matches can last a while, but when you die you can just slot into a new match starting elsewhere, so you still don't have to wait. There's no direct equivalent in board games.
I played every CS except CS:GO and despite all the changes and the focus on selling clown guns I'm pretty sure it is still a "complete the objective against the clock" game.
It is very rare to have the clock run down. The time mechanic is there only to limit the round time. Most of the time either team is eliminated, or the bomb goes off/is defused.
Elimination deathmatch modes exist, but they're usually an optional mode, and even then calibrated so matches take no more than a few minutes.