How can such a thing be explained to you in a satisfactory manner? This is entirely a subjective matter. (I was assuming there were reasons you liked it, even if it was largely subjective. The rest of your post is pretty much what I wanted)
I like traditional mechanics because they tend to allow you to have larger parties and more tactical control, with each party member having a defined and important role. (Once again, this seems like the ideal to me. I can think of plenty of games where having specialized party members is completely possible, but also completely unnecessary.) I like the notion of random battles, though I wish they were handled in a manner closer to say, a game of D&D, where the monsters were truly random and scaled somewhat to your experience level. (Monster distribution can still be random and level scaling can still occur in non-randomized encounters. Why wouldn't a game that features enemies on the map be able to accomplish these things?)
Monster grinding can be fun. Once upon a time, it used to be a requisite part of any RPG - look at Dragon Warrior. Nowadays it's been shunted to being necessary for sidequest bosses, outside of niche, traditionalist, uber-hard fare. Like I said earlier, I preferred games like Baldur's Gate or its sequel, games where the last boss fight was incredibly hard and you'd best be at max level to take them on. (Developers should ensure the last boss fight in games are tough, regardless of your leveling. The "skill" needed to beat the final boss should not be "time spent killing X number of foes so I could get to a high enough level;" it should be actual skill. Ex: By the time I reached the final boss "gauntlet" in FFX, I was already too powerful for them. Summons took care of the whole thing. There was no challenge at all.)
I don't mind a very active, action based system on occasion, but I far prefer a complex system with a lot of stats involved and a lot of strategy. (I do too. What was the last game you played where you actually needed to look at and/or manage your statistics and formulate strategies that couldn't be beaten by simply leveling too high and that could be beaten while "underleveled" if one played using said strategies and stats to their advantage?)
I can enjoy a turn-based strategy game like Civilization and Galactic Civilizations 2 and still love Warcraft 3 and the Command and Conquer series. It's a matter of general preference, but overall quality is a major trump card.