I saw from your other comment that you learned this from Cesar Milan. Well like most celebrities, his advice can actually be harmful. You have to realize this entire guy's job is to sell you himself so he can make money from his brand.
https://medium.com/@vandanni.hadai/cesar-millan-the-problem-...
EDIT: Redacted recommendation based on comment. Normally I'd leave it, but if there's even a 5% chance that comment in the reply is true I do not want to encourage it.
Instead, try this book: https://www.amazon.com/gp/product/0761168850
Negative reinforcement training isn't great.
Positive training is much more the norm these days. Cesar's techniques can create terrible feedback loops that create worse behavior long term.
This technique for barking is also very useful for quieting barking: some dogs will quiet very quickly and can be controlled just with the hand(s) over the snout with the low "nooooo" sound - others will fight to pull away and then you may need to add the gentle pinning action as well.
This technique comes from how that this is what mothers will do with their pups if they are barking and need them to be quiet - they will gently bite down on their snout from the top and growl quietly; maybe it's akin to a parent going "shhhhhhhhh" to a baby/child?
Also, my dog, Kylie, was 50 Lbs. The technique I described is harder to do on much larger dogs and much smaller dogs for various reasons, little dogs more often have alpha behaviours because the little buggers are hard to grab onto their snouts.
Also you reference alpha/beta behaviour which has been debunked ages ago. There is no such thing.
Your understanding of dog psychology is decades out of date. It only works because you are instilling fear in your dog. Maybe your dog won't ever snap at you, but your methods have a very high risk of creating a violent dog.
Please seek out a dog behaviorist. Your methods are not what anybody should be doing.
You need more nuance on your rigid belief that what I did to successfully and safely train my dog - I can't imagine what you're picturing - but I was in full control and in no danger, and she wasn't going to bite me because I am far stronger than she is - and I had my hands over her muscle. And there was trust with her, she wasn't an aggressive dog - highly intelligent and so it took little influence to redirect her behaviour. For sure, certain dogs with certain temperament
Your blanket statement that what I'm doing is wrong is wrong.
I assure you there was no more fear or stress than if you raised your voice to a child who's misbehaving. Most dogs aren't lacking in experience with physical interactions with other dogs - making noises/barking to friendly nipping to more aggressive nipping for control/dominance. Gently putting your dog on their side in a safe and controlled manner, putting some weight on them - enough to know they can't move - and gently holding their snout together while deeply, softly, calmly, slowly growling "noooooo" until they calm down is very mild and subtle in reality. Arguably if you don't have trust with the dog or your dog is aggressive and they don't submit fairly quickly - then that tactic can't work.
You seem to be more on the coddling side of the spectrum. The "horrifyingly incorrect" and "abusing my dog" comments make me wonder what you're imagining too.
Citations needed on "alpha/beta behaviour" has been debunked is needed. You can see hierarchies everywhere including with animals - it's why dogs can learn to not bite or nip people, but will nip other dogs in playful or even aggressive ways - but not humans, because they know people are higher up in the hierarchy.
You don't seem to care to take nuance or context into account in your analysis, and it sounds like your experience with and behaviour of dogs is limited as well - as I said before, indoctrinated into whatever methods you suggest; I'd love to see videos of a variety of scenarios you think will help - and I wonder how realistic they will be or how serious and urgent of situations they are to take control of the situation.