I don't think it is quite as difficult to get the reservations now that the price has gone up and they make you pay in full at the time of the reservation.
But,
when I called for CRT, I called at 6:55 am and kept dialing until it rang through. I have always gotten my ADRs doing this. We have gone every trip - until this year when they have priced me out of the market. Also, this is one time when I call the dining number directly (1-407-WDW-DINE) instead of the 800 number. I also would call using my house phone and my cell phone at the same time to increase my chances. Usually one or the other got through and I would just hang up the second.
When someone answers, just shout out "Cinderella Table, Party of 4, July 6, any time" or whatever your situation is.
Hope that helps.
Maggie