Like raising rabbits, tanning has a massive learning curve.
Whether one method or another is better for a specific situation has everything to do with current circumstances, and even local climate.
If a white pelt is blood soaked, then rinsing asap is perfectly logical.
If you can get a white pelt off the rabbit without turning it red, then you can skip the rinse, but don't skip the cooling step. That is because plastic and fur are both good insulators, so it can take a surprising amount of time for a rolled up skin to freeze in the center.
Sometimes, you can do everything "wrong" and still end up with a perfectly good skin, and sometimes, you can follow an experienced persons instructions to the letter and still end up with a botched hide.
:lol:
I tried to get the fur to slip off a cowhide once by soaking it in water outside for weeks.
That manure covered pelt simply refused to slip. :shock:
I ended up with a very clean hair-on rawhide by the end of it. I still don't understand why bacteria never ate off the epidermis. I could have limed it, but guess I was too impressed by the tenacity of that hair. :?
Deer hides on the other hand, have usually already started slipping by the time people get them to me. A few days soak in water is usually all it takes to produce a perfectly hairless hide for tanning.