Probably not, for everyone considers their center a guy that never ever gets a block shed...
Absorb Pain allows you to have a bit less in stamina and confidence. Whenever your guy gets his block shed (first roll of the blocking mechanics), he looses bits of in-game stamina and in-game morale. If you can't get those up instantly, your guy will play less and less effective. That's why you want higher stam and confidence normally - but Absorb Pain is an alternative way to deal with this issue.
I wouldn't take an Absorb Pain piece if it came with nothing special, i.e.
+1 confidence, +1 Absorb Pain = crap
but I'd take those anytime:
+2 blocking/strength, +1 Absorb Pain
+3 agility/vision, +1 Absorb Pain