You can, however, put whatever amount you want (up to the small claims limit) in the initial paperwork. It would get reduced to actual damages if you won. But...big companies often try to settle with you before the actual court appearance. By padding it, you set an expectation that might help. They are likely to settle if the amount is less than the cost to have someone appear.
The GP was talking about Small Claims specifically -- I don't see anything on the linked page that refutes that. In fact, it seems like this applies very narrowly and only where specified by statute.
It was the best I could find. My understanding is that here in CA, if your landlord does not refund your deposit (or properly itemize legitimate expenses against said deposit) you can sue in small claims court and recover 3x damages, up to the small claims court maximum of $7500.
That said, I've never tried it, so it's possible my understanding is wrong.