For me to have stolen something, there needs to be less of a product in the store between the time I arrived, and the time I left. In this scenario, CVS' inventory stays exactly the same.

You are in "you wouldn't download a car" territory, so nothing I say is likely to convince you. These points have been argued since time immemorial, i.e. 2000, Lars Ulrich v Napster. Youtube isn't any different.