Exactly. And I think it’s important for the OP to note that rabies doesn’t “make the host want to bite others to spread the virus”. It simply causes the host to lose fear and become agitated, confused and agressive, which leads to biting incidents. But it’s not like there’s a voice in the animal’s head telling it to go find something to bite so they can spread the infection, like you might imagine with zombies who are hungry for brains or whatever. It’s just a consequence of the behavioral changes. Which as you said, happened to help it spread, yada yada.

This article gets into the details of what’s causing the behavioral changes and such if you’re interested OP:

https://www.medicalnewstoday.com/articles/319735#Virus-interacts-with-muscle-receptors