As the fiat money devalues in value. The value of BTC and other cryptos goes up.
The value remains the same, the price would go up and I'd argue that altcoins' price is not going to go up because of inflation since they work based on pump and dumps and most of them are only traded against bitcoin not even against fiat to be affected by fiat value.
So if the banks etc printing all fiat out of crazy numbers, then we should be in a guarantee of BTC going to over a million perhaps.
No it is not a guarantee. The main reason for big rises will always be more adoption.
Inflation will both directly and indirectly affect the price. Directly in the sense mentioned above (devaluation of fiat) and indirectly by pushing more people toward making an investment in bitcoin that doesn't suffer from the same flaws as fiat does.
Does that mean we should be embracing the printing of money?
No! Non-stop money printing ruins the economy of the country. Look at US.