Frame paint done

Built out some of the floor today.





The top plywood is 1/2" BCX (what I could find in 5x8'). The front, back and the divider wall location was allowed a gap for 2x2" to fit as a bottom plate for each wall. I went a bit "against the grain" and installed ribs front to back... Creating a sort of mesh that is supported at all the frame cross brace points. The 3/4" ply side wall will rest on top of the wood at the edge, using the 1/2" floor ply edge as a bit of a fillet support. The walls will hang out past the frame edge 3/4" (as can be seen in the last photo) in order to try and create a drip edge and give true 60" width inside. I do have some slight concerns for the strength along the grain of the wood supporting the side walls, but I deliberately extended the front and back pieces out to the side edge to give some perpendicular grain at those stress points.
I plan to install some extruded foam in the gaps between the ribs. However, I had thought to install some 1/4"ply under that to create a sandwich. I figured that would boost the strength especially where it is cantilevered past the frame at the front corners and support the wood all around the perimeter where it is supporting the walls past the frame. Then I planned to seal with the mix and pmf to cover the bottom (whole trailer will be PMF to create a whole cohesive shell).
However I'm wondering if I can get away with just PMF over the bare ribs and foam, omitting the 1/4" bottom plywood.. I'd still seal first, then install the foam (the mix would probably melt it otherwise).
I guess my biggest strength concern is the doorway.. The door has an aluminum sill meant to sit at floor level and it is very wide overall (43") so Im planning to push it as far forward as possible. So it will have only the floor to support the opening where it cantilevers past the frame. Hence stressing over whether or not to add the 1/4" ply under the floor to create a stronger sandwich structure. But if I can omit that It would probably be ~30lb weight savings.. Id bet this floor is ~100lb already judging by how much huffing and puffing it took for me to get it over to and on top of the frame.
So I intentionally stopped work here to get some input. Any thoughts?