FWIW I think it would alter the number of top level draws because endgame theory would be totally different. Everything from pawn endgames on up. For example K+P vs K would automatically be .75, never a .5 draw.
Anyway it's nearly the same as saying draw by repetition should award the player with more pieces more points... but we all know the relative value is worthless in a specific position. If you can't mate, you can't mate. Your remaining pieces aren't good enough in that position.
And this is a fairly important point it seems, that the argument is based in ignorance of the evaluation of the position according to the rules. I.e. positions aren't ever evaluated by counting the number of pieces on the board. Similarly we don't say winning by sacrifice will not earn a full point because in the final position the victor would lose if play continued without a king. Both players are (or have the opportunity to be) fully aware of the position's evaluation as the game progresses. To play into a position in which checkmate is not possible should not be rewarded because of something as arbitrary as the number or type of pieces on the board in the final position.
I didn't mean necessarily your implication, but the implication leading up to your reply. That's why I called it an implication rather than an assertion, but I guess I should have been clearer, or used a different quote perhaps.
Draw, however is a step up from being a win for the person in stalemate.
Really, how many high end games result in a draw from stalemate. Stalemate at any experienced level is a tactic more than anything... hmm...I can't move here because after QxN he'll have a stalemate or can force one.... A draw by stalemate seems eminently fair. A player with the advantage who can't force a mate doesn't deserve to win, not even a .75win. But the last part is just my opinion which is a most common commodity and valued accordingly.
Few games end in stalemate, but the possibility of stalemate influences many endgames. For instance, A king +two knights vs. a King would be a win for the superior side if stalemate counted as a win. A King+rookpawn+wrong colored bishop is a draw because of the stalemate rule. Nimzovitch who advocated changing the stalemate rule, said that chess was like a race in which you had two win by 10 seconds or its a draw. If you go to the Wikipedia article on stalemate, you will see a summary of GMS Fine and Benko findings on how changing the stalemate rule would affect endgame theory.