I think one factor is how many people in your party. For instance if you are 4 people than it might be more likely that you will get the private table as the smallest table top is for 4. You will not know if your request was fulfilled until you actually go to dinner the first night. Even if at the time you boarded the ship the request was fulfilled it could change as other guests request dinner time changes, especially from late to early seating once they are on board. There is a station where guests can request changes to dinner seating when on board and if you currently have a private table the Head Waiters at that station can put another couple or more with you. Even if you go to check if your request was honored on embarkment day, it could change before your dinner seating.We're going on our first cruise in April and will request a private table. Is there anyway to tell before our first dinner if this has been honoured or would we just find out when we get seated?
We are just two people. We have taken 16 cruises and we got the private table every time we requested it except for the last cruise this past September on the Wish. We got a notice through the DCL app that due to the ship being full our request could not be filled. The first night we were in Palo's so we didn't bother with the message. The next day we went to the dinning room that was open for lunch and spoke to the head waiter to ask how many people we were sitting with and it turned out to be 6. He said he would see what he could do and later that day we got a message with a new table number for a private table.
The strange thing in out case was that because it was an early September cruise there was very few children on board so most cabins were just two adults. In fact our Head Waiter mentioned that the ship was only about 65% full. I am thinking that it has something to do with the Wish design as the MDR tables seem to be closer together than on the Magic and Dream class ships.