Sorry, but a window of roughly 52 minutes 6+ hours isn't exactly what I'd call accommodating. Depending on your job, the weapon, and the mobs and their location in question, you could be looking at a hell of waiting solo. So, while this might not be an issue for people capable of devoting huge chunks of time to the game daily, for those who maybe have a couple hours here and there every other day? Lemme guess, "It's not for them."

No.
Expecting to be able to log on and do weather or day based trials whenever you want is utterly ridiculous, i`m sorry. Especially if you go out and purposely choose an elemental trial. Maybe people have a right to be annoyed once, when they realise there isnt permanent fire weather right outside their mog house. Then again most rational people will realize their mistake and think a bit before choosing a trial which doesnt fit so well with their time limitations. Thats always something you raise too, limited time, it gets a bit ridiculous sometimes. Next thing youll be saying that Magian trials dont work very well for people who can only log on for 15 minutes, once a week.

If you don`t have the patience to wait for the game clock or the weather to swing to your advantage then yes, find something else to do. It`s obvious that the patience is lacking. You make it sound like Magian trials are the only thing for people to do in game.

Let me give you a good example of how rare conditions are countered. Killing 50 bees in water weather. There are very few ways to actually get this done in game. What do you do to counter this? Check the weather NPC in Lower Jeuno until you see the right conditions coming up, then go sacrifice some time waiting for weather to pop. Sure it might take a little bit of time for things to swing to your way, but if you persist, youll get it done.

Another solution is to be doing more than one trial, but that one is so blindingly obvious I didnt feel it needed to be mentioned. However, you forced my hand.