In my opinion there's no reason to cut a dogs whiskers except for show purposes, maybe. And by cutting them you'll only make them more prickly and they'll be more of a nuisance when your puppy cuddles next to you.
We think this is OK because we don't have this sixth sense and we can't put ourselves in their shoes. Maybe we could try putting ear plugs in our ears for a whole day and have a sense of what it feels like...or maybe wear sunglasses indoor and at night. The sensory deprivation wouldn't be so great, would it?
They use their whiskers to feel air currents, to estimate the size and shape of nearby objects and how narrow or tight a hole/passage way is. They are somewhat like eye lashes for humans and every time their whiskers get touched they close their eyes to protect them. If you want to test their sensitivity, gently tap them. Your piggy will likely blink on whatever side of the head you tapped the whiskers on.
It then takes about two weeks to get used to the new feeling and sensations of having no whiskers. Then they grow back, they start getting used to them again and you cut them again..and the getting used to starts all over again. It's like rehab on-and-on-and-on.
I imagine it like cutting your nails way too short, like tear deep, and having that live flesh feeling under your nails with each and every nail. And when they grow back, cutting them again just as short. I don't think it's pleasant.