That's technically correct--if you show up at a place and time where the state accepts applications for an ID and submit your application with all required supporting documentation the state will not be able to charge a fee to process you application and give you your ID.

But there is no limit on what it might cost you to (1) obtain the required supporting documentation and (2) go to where you can submit your application at a time when they are accepting applications.

For older people and for poorer people these can be a significant problem. The fact is the for nearly all of its existence the US has not required much ID, meaning it is very hard to transition to such a requirement without disenfranchising many citizens. So far I don't think any proposal for stronger ID requirements has tried to address this.