Fact is Summoner in 4,5,6,7,8,9,10,11 did summon beautiful incarnations of magical beings. I haven't played 12 and 13, but they probably follow the same pattern.

Straying from this was a typical FF14 1.0 design mistake, which would have been caught, fixed, and redone with 2.0 had SE not been so slow with adding the job to 1.0.

I don't care that they look like elementals and float, that is fine. But the overall design make it hard to tell it is a Garuda, and I fear if ramuh or levi is added it will just look like a tornado with a staff or a spiral of water.