Hullo all!
I rarely come to these forums, but I'm sure glad I did this time! The only thing left to unlock in my Coruscant apartment is the balcony, and I did plan on putting a starship there. Not anymore.
To be fair to the OP, I don't consider myself a half-wit and I read everything in-game, but I haven't come across any official, in-game information that would've said "no starships on Corus and DK"... in hindsight it makes sense, because it's an apartment, not a whole, dedicated building just for you, and it's also very close to the spaceport where you park your ship. That's okay, I'll either get one of those fancy AA-guns or grind some Fleet Comms and put an Imperial Scout there (yes, my Imperial Agent is the son of my Republic Smuggler, so they share the same apartment... along with my smuggler's two brothers and a Bounty Hunter! The three small rooms upstairs are for those "alts", the two big ones downstairs are for my two "mains" )