In actual experience the one head replacement works. As mentioned shops do this all the time. Even if the new head was surfaced they take off maybe .002 as a check to see how straight your head is then if needed they may take off a little more. The .002 usually cleans up the surface and the head is good to go.
Even if they took off .010 it is not enough to cause issues.
Many on. here rebuild engines all the time. Do you know that your brand new pistons are de stroked .020 from the factory to allow shops to surface blocks and heads while not causing issues? Other than Performance Pistons, ALL aftermarket pistons are destroked .020 just for this purpose. Sometimes one piston is purchased to replace one bad pistons. The new piston will be destroked .020. No one throws away that engine or says it is bad due to this .020 destroked piston. They install it and run it. No negative effects are ever noticed.
In a serious race engine this would never be done but in the aftermarket for passenger cars and trucks it is done every day. I would not hesitate to run the new head on one side only if I had one bad head.
You are not changing the compression from 10:1 to 8.1. The difference will be something like 10:1 one side and 9.9:1 on the other bank. Probably much closer than this example.
Do you know that even at Mother GM if a block comes in that has one slight variation in cylinders they might put a .010 over piston in one cylinder while the other 7 cyllinders were standard bore. They don't scrap a block because of a minor issue that can be fixed with one oversized piston. Does not happen often but it does happen.
In my working carreer we had the contract with GM for many of the pistons they used. In my last few working years GM would only buy your piston if you could supply what they called the power cylinder. The Power Cylinder was composed of the Piston loaded with RIngs, the connecting rod with the Rod Bearings installed so the entire Piston Rod, rings and bearings were ready to drop directly into the engine. Sealed Power and Mahle were competing for that business at the time.
I am not blowing smoke at you because I have rebuild a couple engines in my life I am sharing information from the Automotive aftermarket and the Production Engine Rebuilders association.
The original poster here will have zero issues because he is replacing one head only.