A problem I have with the idea to adjust them regularly for valuation is, that it can happen that way, that you are taxed out of your home without a change in your income, e.g. you have a house and have calculated, that with your income in a relative save position, e.g. in the public service, are able to pay for it.
So you're for strict rent control with vacancy resets? In other words, landlords shouldn't be able to raise rents except when the tenant moves out and is replaced by someone else? After all, it's an even worse problem for renters since rent tends to be rather more than property tax.