They absolutely should. G-meters are already compulsory in lots of high-school football leagues.
It is the rare game which has no injury which causes at least one player to miss the next game.
The average NFL career is under 3 years long. And those guys typically don't even make that much money given the amount of post playing medical expenses they incur. I've had long conversations about the NFL with ex players (quite a few went to my old gym) and none of them would let their kids play football at any level because of the injuries that inevitably occur to everyone who plays. I think that's pretty telling.