yes, the AArt bottom drain needs to be weighted down particularly if you are using flexible piping. The instructions specifically say NOT to use flex piping and that rigid piping is best. I use it with flex piping as I like to move it around every month. I just put two rocks on each of the legs and that's it.
Flex piping, by the way, isn't as pliable as we'd like to imagine and you may WANT that drain to sit in a certain spot, but your flex pipe may not allow you for the positioning you specifically want. Flex piping is worse in winter where it stiffens up a bit, too.