The Enchanted Garden round tables on the main aisle are very pretty, but not very easy to get in and out of. We have been seated at the same table on 2 of cruises and though I would not go out of my way to ask to NOT be seated there, I always make sure that I sit on the outer side and not stuck in the middle.
We may be sitting near people in a service area and have the same wait staff, but never at a large table with another family. And I have never requested it to be that way. Our very first cruise was the closest we came to having another family at the same table, but they were never at dinner anyway after the first night. The Mom told me that they preferred to dine at Cabanas or have room service because their son was a bit "fidgety"... he was 4 and cute as a button but clearly bored after 1 to 1.5 hours. That was the first and only time we had second seating come to think of it. Now we always book Main.
I don't think you are being anti social at all.
Just a Mom who knows her kids.