I play EVE. Do I care if I have time to play or not? No. Why? Because in EVE skills are trained in real time, sometimes taking a month or more for the final level of a specific skill ( level 5 is max). So even if I do not have the time to regularlly play, my characters are still growing while I am away. That ofc stops when your sub timer expires. But I like that system. Last year, I had a new job and had zero time for gaming period. So what did I do? Activate the longest skill timers I have available and walk away. In this case it was fighters 5 (61 days), and on my alt amarr carrier 5 ( also around 60 days) both long as BAM skills but also very powerful ones. So despite me not being able to play I still was able to keep moving forward. That is a good system.
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That's a good system for games that can become a time-sink, not all have features like that though or ever probably will. It's handy for the people who are too busy, and it's great in that way. It can practically play itself and you can still get something done while taking care of IRL work, but something what I'm talking about in the OP would be another type of benefit just like what EVE has, yet for all of it's usefulness, I don't know of any games that offer something like that even though it's amazingly simple to carry out.