People, and state economists, have confused inflation and deflation so much for their propaganda that right now is almost imposible to have a discussion around it primarily because different people don't mean the same things when they use those words.
Is the inflation you talk about consumer price inflation? is it assets price inflation? or is it money supply inflation? is the deflation caused by increases in productivity or is it caused by decrease in demand? Is inflation a product of regulations? of corruption? or was it caused by central banks and politicians' stupidity?
Those are all very different situations that require very different approaches, but because the "inflation-good deflation-bad" mantra has been repeated for so long (without any actual proof!) idiots now can't see past it, and think it's fine because they call themselves economists.
That's quite the number of negations you've got there. I assume you want to say that a mild inflation make economic sense, but I think you're actually saying the opposite due to the 3 negations (no one, zero evidence, bad).
In general, without some form of inflation, you end up with a deflationary spiral because people stop spending and the economy seizes up. No one will spend money if just holding it makes it more valuable. It then becomes a race to horde as much as you can for as long as you can. It's also, quite uhhh... perplexing for me, to not increase the money supply when populations are increasing; because, they're increasing the value of the money by increasing demand for it.
Central banks are the result and answer to reckless unregulated financial markets crashing, being manipulated, and destroying lives... Oh shit, kind of sounds like bitcoin, doesn't it? Everyone does this "central bank boogeyman" and thinks it should go away but they all absolutely ignore why they exist in the first place.
There's a ton of quality stuff to be debated in regards to economics-- this is not one of them.