According to Gordon Cundhill, might be Cundill, the only proper way to hunt a lion is to walk him up. Tanzania, Zambia, Zimbawe, mabey Mozambique.
I think so, for myself. I have hunted bobcats several ways, like tracking and calling. I have hunting mountain lions, which is pretty tough now because of all the tree hugger restrictions put on that ( micro permit areas, short "seasons" of a few weeks, no dogs in some places ). I hunted a jaguar long ago, a cattle killer, from a tree blind, by calling. That is where dogs come in good to get onto the track of a troublesome cougar.
This gets me to my feeling that
the real challenge is to hunt a particular predator, not just any cat ( or bear, or wild boar, for that matter ), but a particular one that is trouble, on foot, by getting to the recent kill and tracking it. I know several people who have been fortunate enough to take a lion, and the ones who have taken several lions have been like this, and each of their hunts lived up to all expectations I have for fair chase and hair-on-end hunt. I had a chance to go with one of them a decade ago but could not get free from work, and vow to not let the chance pass again. These opportunities were very inexpensive, making it possible for me, and my friends who did it.