Not really. Nobara comes prepackaged with a plethora of game related utilities and tons of kernel tweaks and packages to optimize it for gaming, but I highly doubt any gamer could tell the difference, between it and mint in the middle of a game. Use the distribution you like that works well for you.
Is there really much of a difference in game performance between “game focused” distros and other ones like mint?
Not really. Nobara comes prepackaged with a plethora of game related utilities and tons of kernel tweaks and packages to optimize it for gaming, but I highly doubt any gamer could tell the difference, between it and mint in the middle of a game. Use the distribution you like that works well for you.