Only admins could restrict ship usage out of factions, so your point about the official factions' head-in-sand doesn't sound too valid.
I presonally don't see how filled pockets would make regulated cap ship admirals from new players. Money only gives the possibility of possession, the usage is totally up to the player. I have a cap ship too, yet I haven't logged it for a good while as inRP there isn't much use of it yet. Of course I have it to keep the possibility of usage.
As for it not being only ECG problem: you are totally right about this. Yet the lore of other factions may allow bigger fleets than others'. You see, neither the Liberty Navy, nor the Rheinland Military suffers from starving, or anything critically serious financial issue that would prevent them to use huge fleets against each other in their war. The Gallic war machine flourishes like nothing else. Not the Corsair one, at least not that much. Corsair fleet is rather advanced in technology and skill than in numbers. And technological advancement doesn't have to mean bigger ships, but more efficent use of the materials they have.
Actually Option 1 seem to be working quite well so far, hence most of the factions run by it.
As an other "fresh" player (playing here for like four months only), I understand that new ones want to play too. But they have to understand as well, that they are not the first ones here, that there is a community already. The old kids did not left the playground. And they don't take away your toys, they just ask you to play reasonably and within the common sense of roleplay, if you want to fly under an official faction tag.
What you are trying to do, this middle way is a good idea in my opinion, and would work in many factions, Rheinlander or Gallic house militaries, some paramilitaries, just some examples. I'm just not sure Corsairs would build a huge fleet of capital class vessels to train admirals instead of spending their money on more food or vessels to pirate with. Corsair lore just doesn't seem to fit such flight school.