“simply don’t have the means to obtain ID”

It can be “disproportionate” and still miniscule. The reality is that the group supposedly being suppressed already has an extremely low turn out rate (non-ID holders aren’t necessarily strongly socially let alone politically active). There have been multiple studies that show that this has very little effect.

“Voter Fraud” and “suppression” are an interesting case where both sides have been peddling unfounded conspiracies about each other.