Now.. there are a few ways to deal with the heat issue.
1- Do nothing and live with the heat. At 10 amps constant ( on 36v = 360w ) it will hold up but at 20 amps i fear the connectors would start to get soft on a moderate to long ride.. and that's not good enough.
2- Bypass the internal fuse and key part of the circuit, running the wires directly from the BMS to the pack's stock plug. Fix the pigtail as detailed above and call it good.
3- Drill a hole in the black plastic end, next to the pack's stock plug, install a gromet, run 12 gauge wire with andersons to the BMS wires to bypass the fuse, key, and stock plug. This would be my personal preference, leaves a permanent wire dangling form the pack so care must be taken when setting it down not to crush that wire.. but would not really be a problem.
For now, i want to test the heat factor with the fuse and key, so andersons it is !
When dealing with fairly thin wire and PP30 tips, strip double the lenght of wire, twist and bend it over on itself , makes more copper inside the barrel of th PP30 tips for a better crimp.