@Sushifox is right, I think it’s obvious that this is TRS’ way of preventing rank grinds by fighting the same weak Monster (or weak Hunters if you’re playing Monster yourself).
Besides, there’s the occasional Gold Kraken player who still only uses Aftershock divebombs and Banshee Mines followed by a pounce so you get hit by all of them and get incapped in less than a few seconds.
Obviously you wouldn’t want a rematch against those guys.
On the other hand, yes, at least having the option to stay would be nice. I’ve actually only been paired with an equally skilled Monster twice so it’d be cool to vote for another round, especially concerning the often long matchmaking times when the game decides it’s time to find a new Monster.