I use 2c where it is recommended by the manufacturer and 1c where no recommendation is made. 1c is the safest to be sure. The issue has more to do the the other materials in the battery opposed to the lithium itself.
I don’t know the answer to this question, but I have never really understood the reason behind 1c/2c/etc for charging and discharging. At the end of the day it is about the amount of current running into and out of the battery and when running in your RC car it certainly is discharging at a rate higher than 2c (usually double digits)....like I said I don't know the answer, maybe someone here does