A highly successful university football team near where i live have been doing squats similar, i believe, to what you are talking about goose. They called them “breather squats”
They would do a rep, and then stand with the weight on their shoulders and take 3 deep breaths of air in between each rep. I heard this through a grapevine, but apparently they were having just tremendous results with them.
They claimed the results came from raising the testosterone levels in your body and the extra oxygen allowed to the muscles. I have tried them personally, and I would agree that I could do more weight each set/rep. But extended results beyond that I never really figured out. I just stopped doing them after awhile. 