Of course this is ultimately a definitional issue, but there is IMHO clearly a difference. I think rather than "mobile" the distinction might be "touchscreen only" gaming; contra some of the wild predictions I recall on HN about a decade ago, "touchscreen only" has failed to displace all other input mechanisms, because it's honestly not all that good. It works, and can be better than nothing, but I think it's hard for touchscreen to ever attain that transparent "flow" state where controls just disappear, and is table stakes for being a 'core gaming' platform.