I would doubt it would cause huge issues other than if you reduce the thickness enough that the static compression was sufficiently high to cause the engine to start detonating rather than burning, or perhaps enough that you needed to readjust the timing curve to account for the increased static compression and thus prevent pre-ignition or pre-detonation (pinging or knocking). But I don't know much about this stuff, so could be wrong. As speculation on Baddie's comment, it's also possible that it also causes a faster burn and generally higher cylinder temps, due to the more compressed AF mixture being hotter even before it's ignited, so maybe the stock piston head, sleeve or valves aren't designed/capable of dealing with that and various things start pitting. If there's any engine builders here, it would be interesting to know!
My understanding is that increasing static compression is generally a good thing (from a combustion efficiency point of view) and relatively harmless, but only up until the point that it starts causing detonation. I can see that manufacturers would allow a little headroom (no brilliant pun intended) in their design compression level for road bikes so that the engines don't start pinging on slightly sub par fuel or once even a little bit of carbon has built up creating the odd hot spot in the combustion chamber etc. With a well maintained (and relatively low km) race engine, you could capitalise on that lee way by skimming the head or using a thinner gasket to generate a bit more power pretty safely i would suspect.
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