Texas has spent millions of taxpayer dollars losing not one but two federal lawsuits over voter identification requirements...
However, if you are a registered voter all that you have to do to vote by mail is send in a form ... without ever having provided proof of citizenship.
It’s rather ironic that many conservatives think that ID issues with physical voting is an important source of voter fraud in this day and age. So far, however, not a single in-depth investigation anywhere has found that it is. But, as you rightly notice, strict ID requirements are proven to disenfranchise the poor and various minorities very effectively.
In marked contrast, absentee voting systems are wide open to massive and cheap fraud, as in many cases all that’s needed is ID info that’s floating around on the internet by the hundreds of millions (e.g., from the latest Yahoo hack). Interestingly, I haven’t heard much if anything about that from the ‘concerned’ electorate.