Literally? Where do you live that lions would be a problem?! I'm joking, and sure there might be a trade off between higher and more basic brain functions, but I suppose those only really work for a short while, after which either will be impeded by exhaustion.
Edit: what's the word for that state of mind, maybe frenzy?
Yes. Cougars (mountain lions) are a thing where i live. Also bear, black and brown. It is an extreemly rare event for anyone to be harmed, but i do run into bear regularly in the summer.
On garbage days you are much more likely to confront a bear around, even inside, your house than by randomly coming across one in the woods. I'm thinking about this because last week was "bear awareness day" in my area. Posters are up to remind people that they are coming out of hibernation.
Edit: what's the word for that state of mind, maybe frenzy?