I'm not sure if free products can even be claimed to an account? I don't think Itchio works like that?
But, the game won't be free to download or access forever anyways and I don't think claiming a free version negates that. If it does-- thanks for the heads-up cuz I'll absolutely be re-making the page when the full version goes live cuz I'd really like to make back some of the investment I've put in! :P