If I'm not mistaken, this is the first time we've been told that the structural battery pack design cuts the pack assembly floor space requirement in half. We knew it would save space, but saving more than 50% is better than I was expecting!
Without any more info, I think it's reasonable to model many of the manufacturing costs falling roughly in proportion to floor area, because half as much space means half as many robots, half as much work-in-progress inventory, half as many people operating and maintaining robots, half as much HVAC usage, half as many ceiling lights, etc.
Other parts of the cost structure, like raw materials, don't get 50% cheaper, and with high commodity prices may be more expensive overall than 2170 non-structural packs even though the new packs use less metal. On the other hand, with tabless cells and no troublesome and time-consuming tab welding and coolant tube installation operations, overall assembly time likely will be reduced by much more than 50%. So maybe conservatively I'd guess overall pack savings from going tabless and structural is 30%.
To get a rough order of magnitude estimate of cost per vehicle savings:
Pack cost just counting casing, thermal stuff, and pack assembly, but not counting cells going into the pack, was probably on the order of 10% of total manufacturing cost for Tesla Model Ys, with the rest of the cost going to body structures, paint, general assembly, and delivery.
Tesla's average cost per vehicle was about $36k in Q4 2021, so $36 * 10% = $3.6k pack cost
[ $3.6k pack cost ] * [ 30% savings] = $1.1k per vehicle
This implies that the tabless cell and structural pack innovation combo will contribute approximately 2% to gross margins for the Austin-made Model Y.