I don't think they are really all that critical. My experience (something like 200 SAR events where serious bleeding was involved) is that direct pressure works just fine. I think we used pressure points a time or two. One of these events involved a virtual arm amputation. For that matter, I don't think we even applied a tourniquet.

Due to the inevitable lag in response time, I believe there were instances where the victim had bled out by the time aid reached the scene.

I don't stock celox or equivalent in my kits. It would perhaps be different if treating in a combat situation.