If the value of my home jumped 10x in a year, I would be ecstatic. Are you kidding?
Oh great! I'll take one of those. Maybe two. Where do I sign up?
That's right. And why would it?
But also: your example is imaginary. When was the last time that house values dropped 10x or even 5x? It's counterproductive to make tax policy based on the extreme cases that have never happened.
Properly distributed, they should not be high.
Property taxes are not a slush fund for the government, nor should they be deferrable. They are intended to be running expenses.