Because the cap is on total dollar value and not on rates, degree of impact is loosely proportional to tax rates × per capita tax base. Or, more simply, per capita state and local tax revenue. High rates alone don't mean you are impacted.

Texas is below the national average (at least as of 2015); they are, therefore, less impacted than most states.

https://www.taxpolicycenter.org/statistics/state-and-local-t...