In German 6 (I think) this sentence was reworked in the way similar to :
“Sie können den Mann entweder beschreiben oder ein Bild von ihm zeichnen”
No confusion is brought with another example (yet).
My understanding is that “entweder” comes where the option comes in : you have to draw or describe the person.
So person (object) comes first and then the 2 ways of representing him or her. If the option was in the object being represented, the “entweder” would be before that object.
“Sie können entweder den Mann oder die Frau beschreiben”,
So I presume that, in that respect, the second example was wrong and was omitted from the reworked course.