I agree but also that they will cease to be referred to as mobile games as a result and it will all blend into one.
Agreed, but I think there will still be some distinction if only for product distribution and advertising, but it will based on where you are using the device and what you are using it for rather than focusing on the inherent capabilities of said device, which is how I perceive it currently ("you can play X on your phone!!11")
So I am thinking that "mobile" will become any content you consume whilst on the move (so not requiring a lot of time/effort/resource) and will be targeted towards small, easy purchases that you do not need to do any financial balancing for. This seems to make sense to me as it relevant/aligned with the current and emerging lifestyle of the upcoming generations who are very much into the regular and repeated digital purchases of software/hardware etc and typically consume content such as news, media and social media.
I have yet to meet someone who purchased a new car online, via their mobile after all.
As I say to a lot of people, mobile will be big, as will social, but they are almost the same thing or will be in the next 5-10 years at least.
Edit: Just thought I would mention that I am a PC fan. Before consoles, mobiles, tablets and especially Apple products

But I can see the potential in them at least.