Serious question: Do we lose our edge if we have no HUD?`

I noticed when I don't have a HUD I usually end up losing my session but when I have a HUD I really seem to dominate although I don't think I really change my play when I use a HUD. So could it be variance then?

Imo the most important stuff that a HUD can tell you is when you can steal any2 and when you can openraise a bit looser and subtle stuff like that but I have never met someone where I could hugely exploit something and make tons of $$$ out of a leak.
But maybe these small changes add up?