That would be a good point if an ID was not required for many other activities. I don't understand why people think it's voter suppression that you need an ID to vote, but not, say, marriage suppression that you need an ID to marry.
Requiring an ID isn’t in itself voter suppression. Actions taken that reduce (ease of) access to obtaining that ID is suppression.
A marriage also isn’t as time-sensitive as a vote, so that’s somewhat different. If someone who lacked ID goes to the poll to vote and is rejected for not having ID, this is different from going to the City Hall to register a marriage. You can do the marriage on another day. The vote, not so much.