I am right handed, and left eye dominant, and did not have an opportunity to shoot let alone own a left handed bolt action rifle until I was nearly in my 30's. Once I had one, it was a lot more pleasurable to shoot and hunt with! I only own two right handed bolt actions at the moment. And the one is for sale. The 22 is of the same make and model as the one my Grandpa got me as a kid, which has been gone for over 30 years.
I love the lever actions as these were the rifles that my Dad and Grandfather had in 30-30 (Winchester and Marlin) and I harvested my first deer and black bear with. Shot my first whitetail buck with a friend's Dad's BLR 308. My main back up rifle isa BLR in 358. Awesome rifle!
I have shot, owned and still own lever action rifles in Winchester, Marlin and Browning (22 LR, 243 Win, 30-30, 284 Win, 308 Win, 348 Win, 356 Win, 358 Win, 375 Win, 45/70 and 41 Rem Mag) over the course of the last 34 years. I have never had a safety issue with a lever action rifle. But I do not shoot hot loads in these rifles, and for handloads use only listed loads from manuals in new cases for hunting, or factory ammunition. But yes, case separation could still occur and pose a potential problem. It is not a frequent thing. A more likely situation would be snow or ice in the end of the barrel while hunting in the late season causing a barrel rupture, but this is easily prevented with some electrician's tape over the endof the muzzle, that blows off when the rifle is fired, and will not cause any issues.
As for hot brass being an issue, the only time was from a Ruger10/22 and the brass was caught by the collar of my jacket and directed it onto my neck while shooting from the bench at the range. Adjusting the collar of my jacket solved that issue!