They may not "ban" assault weapons but it seems to me that they could very easily require the sale of an "assault weapon" to go thru the NFA system just like a can or SBR does now. The system works pretty well except it's slow. (especially right now). They could easily throw money and people at the current system and make it "work". More cost, huge wait times and lot's of hassle here but it's done everyday.
I'm thinking that's kind of a long shot. They're already so under-staffed and overwhelmed. They apparently did get approval for an additional set of examiners as well as the "contractors." I'm not sure how all that will shake out come 1 March, though. Even if the new examiners stay, they won't be fully operational until the summer. Also, they're supposed to switching to an E-system this summer. All of which should speed things up, however....
There seems to be momentum on getting rid of the LE sign-off, but they'll now make corporations also submit finger prints AND then submit them to LE. Nothing is required of LE, just notification, but it may slow down the process again, or at least during the retroactive finger printing, if they go down that road.
All of that, plus adding millions of additional scary guns to the processing may not be realistic.