tl;dr: Good in theory, and the bridge would be stronger overall, but would need some careful thought!
A steel top chord would be stiffer (and heavier), so would deflect less under the same compressive loads. I think my main concern would be the joints. The all-wood bridge's connections have wooden bearing faces; a well-fitted mortise and tenon joint only needs dowels for restraining, not load carrying, and you don't usually put a joint like that into tension if you can help it. Since the wood itself is also somewhat ductile and can crush slightly, it allows for load sharing across the structure where the forces are slightly different in each member. I noticed that the diagonal braces in our bridge are not cut with tenons; the mortise is in the chord and the brace is simply fitted directly into it. Quicker to make, certainly, but possibly removes too much material from the chord.
Make the top chord out of steel makes those joints a timber-steel hybrid. The overall forces in the bridge might change by only a modest amount, and the forces in a truss are really a function of geometry. The problem as I see it would be the local bearing forces, which could increase substantially. This would shift the weakness from the top chord itself to the diagonal braces, and their tenons and dowels.
Using a tube or RSJ would usually mean attaching the existing diagonal braces to it with bolts, gusset plates and brackets, which means those fasteners are now carrying the load into the grain of the brace, potentially leading to more cracking. If the braces were instead fitted into a steel (or wooden socket inserted into steel) equivalent of the mortise then you can preserve the bearing function that the original joint had.
Recall that our bridge is a shallow Warren Truss with additional verticals. Generally half of the diagonal braces are in compression and half are in tension. The vertical members are helpful in a wooden bridge because you have quite long lengths of unsupported wooden beam between the diagonal members' joints, so inter-joint bending of the top chord can be reduced. But, verticals are also unhelpful in a wooden bridge because one end has to occupy the same space as two diagonal braces' ends, which means you have even more dowels or other fasteners in much the same place, and at the same time you're carving out even more wood from the beam (top or bottom chord) to form the mortise, which means the beam itself has less strength in either compression (top) or tension (bottom).
Thing is, we also once built huge trestle bridges to carry railways. Apart from the fact that they felled enormous numbers of trees to build one, there is a lot of redundancy in the design, and any failed members could usually be removed and replaced singly without having to shut or dismantle half the bridge.
I mean, really though? It's only 45 metres. Maybe CEC should just build a nice stone arch bridge like we used to do, use the exercise as skills preservation, and be done with it.