No, he specifically said to sling *over* the crampon. Said it was a pain in the ass to re-lace or adjust your boots, since now you have to dump the crampons to pull the pant leg up to get to the boots.
Put the shock cord over the crampon, and you can just pull it right off and relace without touching the spiky things.
Can't say I've ever actually adjusted my boots with crampons on myself (Figure the straps would get in the way?), but that was Mr. Haley's logic during the session.