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Of course a lot of people prefer the Arcanist's casting system (not his spell progression) to the Wizard's; it is strictly better. Saying that you prefer the system is like saying you prefer ten dollars to five.
That's borderline delusional; you must be reading the rules of the Arcanist without bothering to look at the numbers on the tables OR watch how a player actually runs one. The Arcanist's casting system isn't that great. In the heat of combat, (which is usually when a well timed spell matters most) the Arcanist is one of the least impressive casting classes. It has less versatility than a Sorcerer and fewer spells per day than any other full caster.
Solving the problem with the Arcanist took about as much thought as cooking a pot of coffee. The Wizard, on the other hand, actually had to do something clever with his resources, something that the players will remember much more than "ah, the Arcanist just spammed the spell we needed...like he always does."
The Arcanist's Quick Study is certainly a neat class feature, but honestly, a Wizard with Fast Study can accomplish much the same as an Arcanist. (Or a Wizard with an Arcane Bond. Or a Wizard with a few scrolls. Or...)
Quick Study is a sweet get out of jail free card, sort of like the Arcane Bond but perhaps usable a couple more times in a day. But remember, it often costs 2 arcane points per use. At level 10, for example, you prepared something like Wall of Stone or Icy Prison as your 5th level spell. (You only have one slot, remember.) Then you Quick Study to change to teleport. After you've teleported, you'll want to switch back to something you can use in combat. So 2 points, and you only have 3 + 1/2 your level in your pool each day. (8 points.) So then you'll have to start consuming spells just keep Quick Study usable. ...and you already have fewer spells per day than any other full caster.
Anyway, I say all that to say that although the Arcanist has a neat trick to pull out whatever spell he needs, it's not without a cost. It's also not that exceptional, when you consider scrolls and the Arcane Bond. And if you overuse Quick Study, you won't even make it through the 15 minute adventuring day, let alone a proper session.
It'll take a clever Arcanist to properly manage his resources, or he'll end up spending most of his day as a glorified commoner.