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In protptype applications, timber is tough to employ in tension, as fasteners concentrate the pull into point loads, which the wood fibers cannot resist well.
Tension rods pass clean through top and bottom chords, and the load is then spread out by using a plate washer and bolt. You can carry higher loads, using less timber, by replacing tension members of the truss with truss rods.
In model construction, you've already answered your own question. If model truss rods would be cosmetic only, and you'd rather not take the time, either way, you don't change the bridge's capacity. That makes it a question of appearance, which you've already decided.