Earlier quoted context omitted.
That’s not what the manufacturers of modern glass fiber insulation would have you believe. Plenty of people cutting and handling it with no PPE at all in their promotional literature. https://www.owenscorning.com/en-us/insulation/pink-next-gen-...
Fiberglass is at least pretty easy one to figure out. Don't have to get that stuff in your skin more than once to realize it's probably really, really bad to breathe.
Sure it's not good for you, so using PPE is certainly warranted, but it's on a whole different level of badness compared to asbestos.
[1] Per wikipedia, there are some varieties of mineral wool used for high temperatures (think insulating industrial furnaces and such) which are carcinogens.