How can one explain the fact that if in a fight between two (not fighting) dogs one will substitute an unprotected neck

How can one explain the fact that if in a fight between two (not fighting) dogs one will substitute an unprotected neck, the other will not grab it, while in the fight between a lynx and a dog such behavior will turn out to be fatal for the dog that has substituted the neck?

aggression between individuals of the same species, as a rule, is aimed at maintaining the hierarchical and spatial structure of the population, and not at the destruction of fellow tribesmen. A population, like a species, is a single whole, and the well-being of one individual largely determines the well-being of a population, a species. The lynx will simply eat the dog.