There is a smallish city with pretty much all non-combat quests, as well as various simple or elaborate quests throughout. There are also several largish areas that are mainly hack-and-slash, though some are optional and some you just need to pass through on your way to somewhere else. There are little easter eggs or puzzles throughout the game.
I don't know the percentage of time I spent on either, but if I was in the mood for killing there was usually somewhere to go for that, and if I was bored with hach-and-slash I always had other quests I could switch to.
If you got a little tired of the catacombs on level 4 or 5, but there were enough challenging fights and random encounters to keep your interest, then you should enjoy the full game. If level 2 became tedious for you, then there is a good chance you would find the full game heavy on fighting as well.
I would bet if you say you "have liked it a lot, but" about the demo, you would say the same without the 'but' for the full game.
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BTW, you can play after the end of the demo (IIRC, after you get sent back to the main menu, save the game, then load). This will let you continue on and get a look at a little more of the area. Some of this artwork was of course not included in the demo, so some buildings are missing and you will have to use the control key to target some invisible monsters. Save games from the demo are not compatible with the full game, though, so I wouldn't put a great deal of time into that.