MMT doesn't create price inflation, it acknowledges that monetary effects (like inflation and deflation) are the only real constraints on government finances when spending its own fiat, and that requiring debt financing for net spending is a farcical result of pretending fiat is resource-limited commodity currency, and encourages abandoning that kind of fiscal fiction in favor of expressly considering monetary effects in setting the kind of policy that has historically been called “fiscal”.
What I mean by it causing price inflation is that money directly spent (especially on social welfare programs) tends to flow to consumers within one or two hops, where it will directly bid up the CPI. Whereas money that is "loaned" tends to linger in the financial economy and mainly causes asset inflation (which only eventually, maybe, causes price inflation). By making the economic feedback loop shorter, MMT makes the results of monetary inflation more apparent, and from an Austrian perspective this is a good thing.