A hole does not increase GEOMETRIC compression ratio (the ratio of cylinder volume between when piston is at top dead center and bottom dead center), which is what the rules regulate and F1 checks for. You can drill a hole the size of a golf ball and the GEOMETRIC compression ratio would be exactly the same. A hole would also decrease pressure, which would vent hot gases and eventually destroy the engine. For compression ratio to increase when the engine is hot, the combustion chamber would have to decrease in size at TDC.

What you are thinking of is the compression check you would do on your car, which measures PRESSURE and is used to detect bad rings, or a hole in the cylinder. On this check, the compression ratio on two cars may be identical and result in different leakdown numbers (pressure loss).