"as you pointed out, it thwarts an insignificant amount of illegal votes. Do we know it's suppressing a significant amount of legal votes?"
Compared to illegal votes thwarted? Absolutely. And anyone with a room temp IQ or higher can see every attempt to "protect the vote" would suppress more votes in, say, Virginia, than the ONE ILLEGAL VOTE in VA per DECADE.
And in Texas, further ID requirements would doubtless suppress more than 3 votes per 4yr election cycle.
Finally, look at Nevada: a claim of over 15,000, initially. When NV demanded names, the claim dropped to 185.
And when investigated, ALL 185 were LEGAL voters who cast LEGAL VOTES. All of them.
Which begs the question: How many additional barriers should Nevada put up, to thwart ZERO illegal votes???
"Ossoff called for holding his Georgia Senate seat."
So....ten yards, and replay the down???