I don't think that people are going to just flat-out stop patronizing Game Stop et al. People like physical stores. You are probably right that they will need to adjust or tone down as digital distribution will take away a chunk of their regulars, but I still see the brick and mortar stores being relevant for a long time, especially as PCs become less and less relevant. People will go to Game Stop to buy controllers or accessories that they want to see and touch before they buy, they will go there to buy old games that don't have a reliable digital distribution platform, they will go there to trade-in for store credit.
It won't happen in this console generation, and it probably won't happen in the next, but I'm guessing that by the time the Playstation 5 (or whatever) rolls around it won't have a disc slot at all. Game publishers have no interest in producing, transporting and selling a physical disc if they don't have to, and once consumers get used to the idea of downloading huge games to their hard drive they probably won't be that keen on having a physical disc either.