I don't think I've heard that the production line is shut down. I only saw/read that deliveries are paused for about a week.
If the fix, once finalized, can be easily done "in the field," I would expect that production and shipping will continue, and they just need to finalize the fix and then implement it before delivery.
We don't know what the fix is...and there will be some evaluation, design, and testing as Tesla works it out. For all we know, the pedal adhesive just needs to sit for a week with zero stress (ie: zero use of the pedal) so that it can cure to full strength. Or maybe there will be a different adhesive procedure. Or a different batch of adhesive. Or a different adhesive entirely. Or maybe it does need a screw. Or maybe the pedal cover will be redesigned with an extra bend or two to mechanically secure it to the pedal.
We did here that the 12-hour factory shifts were reduced to 11...but I wouldn't consider that a shutdown. And, Joe Tegtmeyer's observations today (tweet with images below) seem to show many Cybertrucks produced at the factory and waiting outside...so based on that, I don't think production has been shut down: