Even without inflation, USD would at best keep value (earning 0%). We live in a world where stuff can become more stuff, hence money can earn positive (non-zero) returns. Crypto as store of value, at fixation, will likely return 0%.
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Even granting your assumption, what you describe is not inflation. If I own x% of the pre-fork chain I own x% of both forks. If you claim value(pre-fork chain) = value(forkA) + value(forkB), then my purchasing power is completely preserved by a fork.
Call it "half-inflation" if you like. Purchasing power of pre-fork holders is preserved. But the exchange rate of the original currency will drop vs. all other currencies. Each unit of the original is now worth less of anything else. Seems like a form of inflation to me.
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Why do you think this matters? People generally care about inflation to the extent that it actually dilutes their spending power.
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