This one I couldn't actually determine the exact line of code causing the problem
, but even if you set the table KeepTogether property to true, at least for me, it completely ignores it and keeps acting as if you hadn't, splitting tables across pages.
Instead, I had to tell the top row to "KeepWith" the next x rows in the table, and then it didn't split. (Actually, I only tried it with x=1, as the tables only had 2 rows.)