I agree that some games are more important than others. Making every game 'meaningful' is, it seems to me, an attempt to imbue each with the same degree of importance. So I'm not sure what point you're making.
Sport is about competition. Winners and losers. Those who win more than they lose rise to the top and those that don't drop to the bottom. That is the nature of competition. Ultimately, there is only one way to make a competition meaningful for all until the end. It's called a lottery.
Setting aside those that earn tens of thousands of pounds a week (as I'm unsure of their motivation), most footballers play for the love of the game. Given that they only get to do that around 30 times a year, I don't buy into the argument that they don't try to win every game.