Again, the question is if they'll handle the surge. I don't know. I tend not to trust the specifications of less expensive Chinese products.
Always consult the manufacturer's recommendation for storage. Generally speaking:
Store at 30-70% SoC.
Store in a temperature controlled environment.
Charge/discharge cycle once every 6 months.
Lower temperatures are better as the sensitivity to high SoC decreases with lower temperature. Conceptually, if you stored a battery at 100% at 5-10°C, for six months, you would see very little degradation. If you stored it at 35-40°C @ 100%, you would see significant deterioration. These numbers are to convey the concept and are not to be taken literally.
Due to hazmat regulations, Lithium batteries can't be shipped above 30% SoC. This is routinely violated, but it's rare to see a battery over 50%. Most manufacturers recommend a full charge before use for this reason.
Another concern with storage is a loss of top balance. The cells will lose their charge at slightly different rates. Over long periods of time, this can introduce a significant imbalance. Prior to deployment, it's important that all 12V be individually charged to 14.4V. If stored for a long time, I would follow it up with a parallel charge of all 12V to 14.4V for several days to give the BMS time to balance them. The typical passive BMS can burn off 0.5-1.0Ah/24 hours.
2S 2P bank would double both the run and surge currents. I would expect that could handle the surge without issue.