It really depends.
First off, I'm not happy about media's death march towards all digital. I enjoy having and owning physical media, and the prospect of having all or at least most ownership possibilities taken away from me really irritate me. With that said, there will likely be some new games I still want to play, but the way I play them and when I buy them will dramatically change.
For one I doubt I'll pay more than $30 for any game digitally. Hell, I struggle with even $15 now. If I can't actually own a game, it makes it very difficult for me to justify paying full price for something. This means I will likely be waiting months, if not years to play certain newer games that come out. If streaming services like Netflix emerge for gaming, I can't imagine paying more than $20 a month for a service like that, and there would have to be a lot of titles available to me in order to justify the cost.
Maybe I'm finally starting to show my age, but I can't stand how digital distribution is taking over. I also accept that it is and will adapt to a degree, but certainly will not be greeting it, or have been greeting it, with open arms.