This is only a concern if you could actually bite someone's finger off. That's a myth that's pretty easily disproven by biting through a hard carrot at the same time you're biting your finger, and seeing how little of an impact it takes at full crunch to bite the carrot.It's more psychological than physical.
Both A and B try to kill each other. A bites B's finger off. While B's finger is on the ground, at that moment, does B think about killing A, or does B think about picking up his broken finger and go to EM and reconnect it before it's too later?
IMO, just thinking about to lose a body part forever can be scared enough to stop a fight. A broken arm/leg can be recovered. A missing finger can be lifetime.
My teacher taught students how to bite in ground game. In one fight, he did bite one of his opponent's fingers off.
The Central Police College in Taiwan has Chinese wrestling class and Judo class. At the end of each semester, both classes will have a joint tournament. Judo guys had a lot of ground skill. Chinese wrestlers didn't train ground skill but biting. In tournament, when a Chinese wrestler bite on a Judo guy, the Judo referee called that illegal move. Both the Judo coach and the Chinese wrestling coach (my teacher) went to the principle office. My teacher said, "We train our police officer to handle criminals. When a criminal controls our police officer on the ground, should our police officer tap out, of should our police officer fight back whatever he can. My teacher won the case.
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Outside of that, I followed this article and it's sources: https://www.sciencefocus.com/science/human-finger-vs-carrot. An average of 1485 newtons of force is required just to fracture the finger, nevermind bite it off. Maximum bite force based on this study: Maximum Bite Force Analysis in Different Age Groups - PMC is around 350 newtons of force at the max (for adult men it tends to be below 300), so you'd have to have a bite force around 5 times greater than average to actually bite through a finger.