"Active" or "turn-based", it all depends on the mood I think, and the personality. Since a lot of time, there are always existed both tendencies. Active games like most sports. Turn-based like board games. Every people has a taste for both I think.
Their differences on videogames often reflect a stereotype. "Active" games are harder to do, as it needs to manage dynamically all information, whereas turn-based pretty much can offer a basic GUI, then do calculations, and reflect them accordingly and based on set rules. Harder == more money, higher costs, higher product retail sale, better incomes, seal of approval! MMORPGs for example, where action-gameplay is harder to make because of lag, it gets converted into a tendency because it depends on technology advances (internet connection speed and servers). If your MMORPG isn't on the tendency, then it's outdated.
It's like 3D or 2D. They are just two kinds of representations for an inner ruleset. 3D is not over 2D, neither the opposite, at least in the gameplay aspect.
So, putting all those things aside, what do I think about active or turn-based? I like both in the same way. I don't think it depends on a simple design factor, it depends on the whole group of decisions made when creating the game. I like NES FinalFantasies. And I like SNES FinalFantasies too. I don't consider ATB from FFIV+ as an improvement, I see it as a nice remix between the turn-based and the action games that already existed.
Next we have complete action RPGs, like, let's say, Seiken Densetu (Final Fantasy Adventures). It's gameplay pretty much was like a Gauntlet, without random generation. It's also fun! AIs always suck, but it's fine if you forget that you have allies at all and just let them die >=D.
Something like that,
Orochii Zouveleki