Silicone wire insulation will need to be protected from pressure, because it can be pressed apart and the insulation split. (which isn't evident when the pressure is removed, as it "heals" the cut visually, though it is still present, so you can have a short but not be able to see where once you take something apart).
Teflon wire insulation flows under pressure and can crack from aging, but at least these are visible even after disassembly to check for cause of failure.
Both the above are more resistant to heat deformations, but balance / sense wires shouldn't even get warm in a correctly built/designed pack. The below types of insulation are more vulnerable to heat deformations, but shouldn't be exposed to that if it's all built right to start with. You can also prevent pressure damage/deformation by building the pack and routing the wires so that is never applied to any wires.
Regular plastic types of insulation can also be crushed by pressure, but their pressure deformations don't usually result in pushing the insulation away from the wire the way the other two do. Their heat deformations can, however.
There are covers (sleeves) you can use on wires to protect them, like the stuff they use inside motors on phase wires, etc.
fiberglass sleeving for wires - Google Search
If you replace the wires to the BMS, you'll need the correct crimping tool for the contacts used in your specific BMS's connector(s), and learn how to use that tool with the new contacts you'll need to buy to fit that connector, so that you can correctly crimp the new wires into new contacts to replace the ones you'll be removing from the connector shell (which you may also have to replace if it doesn't have removable contacts).
