In the short these heads will not improve compression any more than the stockers on the engine now?
Yes, the 81A head is lower compression ratio than stock 59AB head. Swapping yours would lower your compression and take away a bit of torque.
So don't do it.
They do breath a bit better, but on a stock engine breathing in the head area is not a performance changer. If you read JWL's book, even very small chamber heads didn't hold back breathing, they raised power nicely.
Martin.