Oooo I think the analogy is a Little off. Just because of the way I interpreted why they said that in the first place.

I think it was said because they are expressing that the nudes are as impersonal as possible, not to say look I deidentified myself. In my case (if I'm right, maybe I'm not) it's a good faith argument to say see, I'm not trying to connect with someone I'm trying to have a business transaction, so comparing it to what wearing a disguise accomplishes in cheating isnt accurate.

Again, that's only based on my interpretation of why op added that bit