We don't have any Lynx that I know of around here, but last spring everyone in our neighborhood watched a mother bobcat (technically a variety of lynx) train her cubs to hunt the squirrels in our backyards. Neither momma or her youngsters evinced the slightest fear of the two legged creatures that shared their neighborhood, but a few of the two legged were terrified of the bobcats. The Fort Worth animal control officers take the attitude the bobcats were here first and humans are the invading species, so they protect the bobcats.
(My wife has forbidden me to feed the bobcats because she is concerned I might invite them into our house. 🤔 on reflection, her fears are probably justified 🙄)