The Strickland statement seems to be an assertion backed up by nothing. As long as one can get an ID for free and conveniently, I am not impressed with the Dems' argument that a penny's worth of suppression of ineligible voters costs a dollar's worth of suppression of legitimate voters. It seems more of a talking point to rile up the Dem base.
Can you get an ID for free in Ohio? Or in Pennsylvania for that matter?
Another thing to keep in mind is that even if the ID is provided for free, the underlying documents needed to get that ID often are not.
I had to get a copy of my birth certificate a few years ago and that took quite a bit of time to process in addition to the fee. I imagine it's even more frustrating when you've moved to a different state and have to do things through the mail.