True, but IIRC going first is not a big advantage in Cards Against Humanity.
I remember one where the owner of the game goes first, so that would nearly always be the same person.
The idea of “who goes first” in board games reminded me of the coin toss in football (soccer) matches. When I first became a referee, I put too much emphasis on getting the coin toss right. At the highest levels of the game, it’s important to follow the proscribed procedure, but at recreational/amateur levels, it’s really not that important. Towards the end of my refereeing career, if I didn’t have a coin to toss, I would frequently have the captains play rock/paper/scissors to determine field and possession. It really doesn’t matter!
For a casual game of chess, I’ve always played where a player puts a white pawn in one hand, the black pawn in the other, the other player picks left or right, and plays with that color of pieces. For a tournament I imagine it’s some combination of random draw, the application of a computer program, and/or a committee talking things over.
Flying Buffalo’s Nuclear War had this rule, and it could make for a significant advantage, as each player had to commit to a sequence of playing cards two turns in advance of them coming into effect
So, not a great game to play while camping, then? 
Only a few km, but I don’t go into religious institutions any more.
A thread on these at BGG:
https://boardgamegeek.com/geeklist/40494/idiotic-starting-player-rules
I just go with Chwazi.