The lucky ones learn about the finger in the butt and hind leg wheel barrow maneuvers before they have to use them.
It doesn't work when a dog really doesn't want to let go. I think it would even make it bite stronger.
By the way, good luck sticking your finger in a dog but when he is fighting... I think you didn't try it much before giving advices.
I've seen the video where all these methods were tried to no avail, so I don't have much faith in them. The safest solution is to put the animal down, but of course you have to have something on hand to do that. A 4x2 to the temple should do it. That'll end the aggressor and save the victim.
You might need something like rebar to stick in the back of the mouth and pull back when that doesn't work
Robert Cabral has a video on the proper technique
https://www.youtube.com/live/rHVyMHTb6l4?si=ZPkPtNP8_zcb_MIf