Exactly. If more economists acknowledged this obvious truth, it would be much easier to have saner policies in this area.
One thing to add is that, in addition to being a tax on savings, inflation also leads to misallocation of resources, because the newly printed money is not distributed equally. (If it were, it would actually have little economic effect, because all prices, including wages, would rise by exactly the same fraction and everybody's behavior would be unchanged, other than the unavaoidable tax on savings.) So the money that is being taxed away from those with savings is being given to whoever is favored by the authority that is printing the money. That allows those favored parties to bid away resources from others even if those resources would be more productively employed elsewhere. And so we get, for example, huge swaths of commercial real estate built (because one of the favored parties is financial institutions who give loans on real estate) and sitting empty for years, while our infrastructure crumbles because there aren't enough construction resources available to fix it.
One thing to add is that, in addition to being a tax on savings, inflation also leads to misallocation of resources, because the newly printed money is not distributed equally. (If it were, it would actually have little economic effect, because all prices, including wages, would rise by exactly the same fraction and everybody's behavior would be unchanged, other than the unavaoidable tax on savings.) So the money that is being taxed away from those with savings is being given to whoever is favored by the authority that is printing the money. That allows those favored parties to bid away resources from others even if those resources would be more productively employed elsewhere. And so we get, for example, huge swaths of commercial real estate built (because one of the favored parties is financial institutions who give loans on real estate) and sitting empty for years, while our infrastructure crumbles because there aren't enough construction resources available to fix it.