Batch openings don't seem to provide much scalability benefit, but sharing outputs could be significantly helpful — arc is considered to be implemented for this purpose. While it may not offer the immediate finality comparable to Lightning, it pertains to an area where economies of scale apply. In the future, large-scale ASPs will be able to conduct batch settlement transactions in every block, and when that happens, Arc enables:

1. Cheap utilization of vtxos with unilateral exit rights reset every block.
2. Much more reliable operation for zero-conf payments (here, meaning participation in a batch round rather than onchain confirmation) due to the incentive model — since it’s not anonymous customer but ASPs maintaining an ongoing business that must cooperate.