Nope, just a game. Not enough depth to be a hobby. If you have RTS experience, in 1 month you can learn the tricks on the 5 popular maps, learn how to use every dg, learn all of the items, learn all of the favors, learn all of the cit upgrades.
Now, with replays and this forum, learning is even quicker.
Next step is to make a pre, but once you do that, you realize that other pre's won't want to play other organized teams, they prefer to smash pugs because ladder ranking = how many games you can mass, not how good are the players that you beat. Then you find yourself smashing pugs, then it's boring.
Whereas starcraft / warcraft / whatever... guys live in houses together, train 10 hours a day, and play the game for 10 years straight.......... that's probably more than a hobby, that's a lifestyle, but yeah there's not enough depth yet.
Maybe with 2 more demigods, some new maps, new favors, new items, and ladder matchmaking service, it could take 2 months to learn everything...... but yeah not much if you already know how to maneuver you way around a mouse and keyboard.
There's no dexterity involved. You just have 1 unit to control. The only thing you can improve is your decision making ability (knowing the matchups, maps, items, favors, DG's) which comes from experience which is how many games you play.