How is BLU New and Innovative?

[Fyce]

The job is intended for solo play in the open world. Some every job can do. Not only that, it's the world of ARR. Not even the new areas from Shadowbrings. You're also just killing mobs. Something we've been doing since the games release.

While every job can kill trash in the open world, there was no big incentive for it.
The incentive for BLU to do it (good exp method and spell learning) is new in FFXIV.

Is the fact that you learn your abilities from mobs new? I guess. But it's just random loot drops like Atma or Pony whistle drops tho hopefully not at rare. I see no difference in a mob giving me my ability from a random trainer giving me my abilities.

You have full control over what abilities you want to go and learn. You are actively playing while making your own gameplay style as you desire. Atmas absolutly don't do that, getting abilities from leveling don't do that, and getting them from job quests don't do that either.
Being free with abilities is new in FFXIV. (At least to that degree. Comparing it to the Logos system is ridiculous, as the scale is completly different, as well the gameplay implications and changes.)

The Masked Carnival? It's just an instanced area where you fight monsters solo to "test your Blue Mage knowledge."

An instanced arena designed to test your skills (literally) and skill builds while introducing the concept of enemy weaknesses is something new in Final Fantasy XIV.

If I'm wrong please explain. I'm genuinely curious. How is Blue Mage new?

I highly doubt that was genuine curiosity. You dismissed (or belittle to the point where you can dismiss) objectively new content and features, while sarcastically saying "the only new thing is being limited!".

If killing monsters is your only comparative criteria to know if something is new or not, then I could be able to say that FFXIV is the same thing as Doom. Besides, it completly contradicts the argument in favor of making BLU a "real job": if all you do is killing monsters, doing it with a "real job" or a "limited job" is no different. The only difference is that I understand how ridiculous that is.
But the point that you can use that argument against itself proves how silly it is.