Moreso meaning if you hurt your back and it’s painful (sore is good, pain is bad) that you can’t bend over. The 3 times I’ve done mine deadlifting and retrying before its good again has had me unable to bend over for 2-3 days. It affects work and general life, if my legs/pecs are sore after a session I can cope.Do you walk on your hands?
Notwithstanding that without a torso your legs wouldn’t be connected to you, I disagree that they’re (legs) any less important than your back.
I’ve seen patients who have genuinely f’ed backs (rods, screws, ankylosing spondylitis and all sorts of other things) and who couldn’t even bend far enough to touch their knees yet were able to work and generally go about their life.
The other thing to remember is that the soreness you experience after lifting weights isn’t indicative of tissue damage (at least not to the point where’s it’s likely to physically prohibit you from doing most things); your back isn’t a magical exception to this.