Personally I think he is trolling, but in reality it shouldn't matter what his intentions are it shouldn't be allowed.
Too many people are concerned about what his intentions are, whether it's a fetish or not. There should be policies in place that what he is wearing is unsuitable, and dangerous in woodwork classes. But unfortunately when you have policies in place to protect "trans" people, anyone can abuse them.
This is very similar to the debate around the banning of religious head coverings, I believe there the policy was to ban all head coverings (whether religious, or motorcycle helmets etc), but as soon as someone could claim it was religious wear it took on another argument, not the fact that head covering were unsuitable in certain situations.
Trans, trolling, fetish, predator, it doesn't matter, it is unsuitable dress.