
As mentioned above, the Azure Dragoon is the strongest dragoon, but doesn't necessarily receive any special powers.
All the powers you receive during the course of the DRG questline are granted by the soul crystal that Alberic gave to you, implying that the many dragoons that Ishgard is famous for all possess these powers.
The limiting factor on whether or not one can play a dragoon IC is how they learned. Alberic only teaches the Adventurer because the Eye reacts to them. Ishgard is a very isolated and xenophobic place. They all intensely distrust outsiders. If you can think of a reason for your non-Ishgardian character to be taught by an elite knight of the Holy See and given a Soul of the Dragoon (without which training would take years), go for it.
Just keep that aspect in mind.
All the powers you receive during the course of the DRG questline are granted by the soul crystal that Alberic gave to you, implying that the many dragoons that Ishgard is famous for all possess these powers.
The limiting factor on whether or not one can play a dragoon IC is how they learned. Alberic only teaches the Adventurer because the Eye reacts to them. Ishgard is a very isolated and xenophobic place. They all intensely distrust outsiders. If you can think of a reason for your non-Ishgardian character to be taught by an elite knight of the Holy See and given a Soul of the Dragoon (without which training would take years), go for it.
Just keep that aspect in mind.