Money printing is not hidden taxation. Taxation is coercive, and money printing is the production of a good, which in itself is non-coercive.
The monopoly on the issuance of fiat is coercive, and there are other coercive aspects to fiat (like taxation), but the issuance itself is peaceful.
If you own a house and suddenly a housing development pops up, diluting the housing stock in your area and lowering the monetary premium on your property, you don't scream you're being taxed or stolen from.
Similarly, if you store your wealth in potatoes, thinking they will retain their purchasing power, and suddenly someone opens a potato farm and floods the market with those things, you don't scream you're a victim of extortion or robbery.
Everyone has the right to manufacture goods - build houses, grow potatoes etc.
And everyone has the right to choose what to use as a store of value.
The monopoly on fiat printing is a violation of property rights, because it restricts your right to use your legitimately (i.e. peacefully) acquired printer, paper and ink, effectively implying they're not really yours (which in and of itself can be considered theft).
But it doesn't matter that much, because even if this monopoly didn't exist and anyone could print dollars, it wouldn't make them less crappy or more crappy. They would be equally crappy.
Your first thought may be that fiat derives some of its monetary premium from coercion (e.g. the requirement to pay taxes in it, or capital gains tax on non-fiat). But it loses even more value to inflation than it gains from coercion - otherwise people wouldn't want to dump it for better things. If you're coerced into paying CGT it's because you're doing better than holding fiat, and having to pay taxes in fiat means your tax rate is lower in real terms than if you had to pay your taxes in something better.
Since value is ordinal, not cardinal, money still emerges from the market, even in the presence of this coercion.
And by the way, the state is under no obligation to issue a non-crappy form of money, just as it is under no obligation to exist.