notice on the pool ponds people use. the bottom bows out the furthest for obvious reasons. if this has a platform connected to the walls i would agree.
using a liner puts much less downward weight and probably 90% plus to the sides. depending on how much excess liner is used it can lift the sides and start to push the liner under the sides. i have a 16" intex pool in my back yard. when full i can easily lift the steel frame up.
Oops! My apologies! As a "tank" guy, it never occurred to me that the sides were not to be attached to a solid bottom; I misunderstood the whole thing here. It's not a box at all...more of a fish corral...Personally I would put plywood down and screw it into the bottom of the 2x4s. But it won't take much to keep the sides down. I'm more worried about the straps against the pond liner. If you do plywood bottom and a single 2x8 brace front to back (use something like PL construction adhesive) I'd send it without worry.
I'll show myself out.