I've been on both sides at the high school (player/coach) and D3 NCAA (player) level. I've thanked players/coaches from another team for not running it up on my team, and I've been thanked for not running it up, but I've never asked or been asked to ease up in regulation.
The thing to remember in the NFL is you've got 22 millionaires on the field at any given time being paid to give their best on every down. Win or lose, you better be punching out 100% every play, because there's a lot of dough at stake.
You can't blame any player from the Patriots for running it up, because they're paid to score often and stop opponents from scoring as often as possible.
If they're that good and can punish an opposite sideline full of millionaires by 30 or 40 points, that's not their fault. And I don't think you'd ever find a player on the other side of the ball saying, 'Go easy on me, Patriots. We're all getting paid, win or lose, so don't make me and my teammates look bad.'