That argument goes both ways:
There is no solid evidence that voter id laws have any impact on voter fraud... Describing them as "anti-voter fraud laws" is literally true but dishonest and dishonesty is bad.
Plus the anti-voter id argument isn't even necessarily about turnout. Someone being unable to vote is still bad even if they weren't planning to actually vote. Many of these people are caught in a cycle of disenfranchisement. It isn't surprising that people who have historically had their voting rights infringed upon have decided to stop engaging with the system. One way to stop that cycle is to guarantee that these disenfranchised people will have the right to participate if they wish to do so.
