Abraham would play about every other snap with us, staying on the field longer on certain drives. He'd basically come off field on short yardage situations unless it was on 3rd down because he (magically) became a much better run defender with us. He used to have a reputation for running past the play (a la Freeney), but Abe couldn't really be accused of that now.
And this is when Abe was getting about $7-8 million/year. The snap count didn't matter, his production warranted it.
Now, Freeney's even more one dimensional, but I have to imagine Belichick was choosing one or the other.