Woodman's strength huh, It's really hard to say right now, because things were left deliberately vague. He managed to fight to fight against Westcott to a standstill, but out of the two, he took more injuries than Westcott. Plus, Westcott couldn't use <Beelzebub>'s full powers due to Nia's interference.
There's a description of him taking something resembling a golden dog nametag before the battle, I think his powers are more Realizer based, more akin to a Wizard than any Spirit powers that a lot of people have been speculating. Later in the volume, Origami pulls out something that was described as resembling a silver dog nametag to summon <Bryhlider> from a distance.