Refund the 300,000 gil only if you bought an apartment in the FC and the system can detect that you still have it at the time of dismissal? Maybe.

Straight compensation for getting kicked from an FC? Not a chance.

Also, the 300,000 gil doesn't go to the FC as far as I'm aware. You just pay it into the void, like the purchase price of any other housing. They're not running some scam where they invite people in and profit from their payments before kicking them on false accusations.

Beyond that, just treat it as a learning experience – make sure you're a good fit for an FC before you buy an apartment with them, or stick to the non-FC apartments. 300,000 gil is really not that much in the grand scheme of the game, and you can earn that much from a few days of roulettes and challenge log rewards.