That is all correct. Collegiate evGrand Prix has various controllers and hence each controller must be programmed down to a power limit set by the rules. If everyone has the same controller theoretically it's already an even playing field, however the 300A of the SPM48300 * 48v battery pack would allow for 14.4kW. That is too much power/current draw from these lead-acid battery packs. Also, a lower limit of 10kW was deemed more appropriate for the HS series.
In terms of the 208A limit that is recommended. The math there is correct IF your battery pack is at 48v. However teams must realize that the 48v number is the NOMINAL VOLTAGE. The battery pack will actually range from [about] 10.8v - 13.2v per cell. Multiply by the 4 "cells" in the pack (lead acid batteries), your battery pack will actually vary between 43v - 53v depending on it's state of charge (SOC).
What this means is the current you are allowed to pull to stay under the power limit increases as your battery pack's SOC decreases (battery is depleted).
At the beginning of the race (fully charged battery at 53v) you can only pull 10,000kW / 53v = 188 amps.
At the end of the race (battery pack more near 44v) you can pull nearly10,000kW / 43v = 232 amps.
The issue is that Alltrax controllers must be programmed to one current rating and cannot be changed during the race (unless you want to pit for this purpose..) Ideally, a motor controller will be able to program a power limit instead of a current limit. However only a couple motor controller brands can do this. Therefore, you must figure out what current limit you want to program your controller for.
Also note the important concept of voltage sag. This is the voltage drop of the battery pack as you pull current from it. Meaning the pack could have 53v (fully charged) resting voltage, but when you pull 188 amps from that pack then it's voltage will drop to something around 47-50v while those amps are being pulled. This is due to internal resistance of the battery cells.
The implications of voltage sag come into play as your battery pack gets to low SOC (low charge). You theoretically may be able to pull 232 amps out of a 44v battery pack to stay under the 10kW limit, however this pack will have a very significant voltage drop if you try to pull 232 amps. The pack could likely drop to <35v when attempting to pull that kind of current. This will likely cause an under voltage error with your controller and shut your kart off.
The above implication is what will happen when your kart is low on charge. You will try and throttle the kart, it may move a bit, but then it will shut off because of the voltage sag drop.
If you have any questions about this, respond below.