Too bad they don't sell just the BMS.
The spec sheet for the batteries says 30A continuous. With 8p cells, I'm sure it could handle more for a burst.
The Lyen controller can be programmed for a lower limit if necessary, but 40A sounds reasonable for these cells. Battery heating is the limiting factor.
I have a similar setup with a 14s, 9p pack. I had issues with the BMS tripping during a hard takeoff and had to increase the BMS trip current to prevent this. There was a current surge at startup which quickly settled down once the bike got moving. Even running at 40A for several minutes straight, the batteries were getting just barely warm.
There was a member selling some surplus BMS units a while back but not sure if he still has any. You might try contacting him. See sale thread:
https://endless-sphere.com/forums/viewtopic.php?f=31&t=84405