How did they even calculate these numbers? The only way I can see the poor paying more in taxes is because those with a lower income could actually own a home in Texas prior to prices soaring through the roof due to everyone moving here, whereas in Cali they were long priced out of owning a home. The main tax burden in Texas comes from property taxes.
What is this Peroni guy talking about states with income tax do more to lower inequality? There might be more 'programs', but everything is so absurdly expensive that there is more poverty. Parts of California look like a 3rd world country.
Trust I know folks who have transferred from Cali (same salary as they had in Cali) within the same company to Texas and Oklahoma and they were like

Also as you said. The property taxes may be lower in Cali than Texas, but it doesn't matter when these folks can buy a home in Texas for 350K and that same home in Cali is 800K to 1 Mill. Basically a home they could never afford to buy in Cali.