Strength is important, but really the strength is already there. I'm just looking to combat sag. Over the span there's about 1cm of drop. Since this will be covered in panels which are rigid, sag may compress them and result in cracks. That's the biggest thing I'm trying to avoid.
In the first design, the outer two triangles will keep it supported mostly, but it can pivot, without the lower horizontal member. The lower horizontal pulls it together.
With truss design trusses sag all the time. They're still strong enough, but I'm looking more for rigidity and resistance to sag. I think the original design is the strongest.