Obviously there are limits to state co-payments and towns also have expenses other than schools--although schools tend to be the majority from property taxes. But, in general, yes I think it's healthy to have significant local revenue pay for local costs. I really don't want the federal government to be paying for all local elementary and high school education.
I think there are valid concerns with an overly centralized funding point. But the counter argument to overly localized funding is that poor areas get less resources because they tend to have lower property values. I don’t think that’s a way to level opportunities.