The ancient game of checkers (or draughts) has been pronounced dead. The game was killed by the publication of a mathematical proof showing that draughts always results in a draw when neither player makes a mistake. ”
That is probably true for chess too, althought we don't have the proof.
And, if it's not true that "chess always results in a draw when neither player makes a mistake", it's probably true that "white will always if it doesn't make a mistake" or the analogous statement for black (less probable).
That doesn't make checkers "dead" (or will probably make chess "dead") for humans as much as tic-tac-toe is not dead for little children. Unless humans are always capable of calculating the best move.
It's not only having more possible games what makes Chess more erudite than Checkers. Chess is just complex enough to portray a rich universe while being still a humanly analytical game. A chess variant with (say) 15 types of pieces would make openings too intricate and probably they wouldn't have famous names. Also, maybe more importantly than that, Chess has long hystory and tradition.