Yeah, I love it when stores lure me in with products that I want, and then only have products that I don't want. I never rage-quit the store when that happens; I only ever buy dregs that they have in stock. I would love spending hours at a store browsing imaginary products that I can't buy; engagement is a perfect metric to predict profitability and the world needs a lot more than that.
All that said... if you change the contract a bit, it could work. Kinda like groupon, but people can browse AI-generated shoes and the most popular ones enter a tournament, and the winning design gets made for purchase. That could be pretty cool.
One way this can be accomplished is by removing all shoes with such logos from the training data. But Nike and Adidas are disproportionally large parts of my training set, so this would not be feasible.
The other option would be to train a machine learning model to recognize said logo's and to use this model to remove sneakers with logo's from my generated images. This could however greatly reduce the variety of images on the website.