I meant the added discharge rates from using two BMS. It probably would be easier to go 2p16s (16 pairs of cells)and use one contactor style BMS. It’s for a 650 amp controller but it’ll realistically pull 150, short burst to 400.
You don't get more discharge from a pack by using more BMSes on it.
The cells themselves have a limit to what they can do, and the BMS should be chosen so it's shutdown current limit is *below* that. As much below as is practical, because as the pack ages, the cells become less capable of delivering current, so if you are pushing that limit to begin with, then it won't be too long before you are at the limit, then past it, and the pack starts to perform badly, or even start to be damaged by that and rapidly go downhill from there.
If you are using a contactor to pass the current, then the BMS has nothing to do with the discharge rate (other than whatever current limit it is built for or programmed as, and you would choose that as noted above). The contactor's limitations would be important, however.
2p16s (16 pairs of cells)
Normally, using the p before the s means that you are using two separate series strings of 16 cells, that are not paired at the cell level.
Using the s before the p usually means that you are using one block of cells that is first wired as 16 sets of 2 parallel cells that are then put in series. That's how almost all batteries >1p are built, for a variety of reasons.
It's very uncommon to build them the other way, as separate series strings connected only at main + and -, for a variety of reasons that seriously complicate monitoring and safety.
There are advantages and disadvantages to both methods; there are a few threads detailing all these, mostly in hte battery technology subforum.