User blog:OVERPOWERED99/Toothless being responsible for Hiccup's leg?

So as usual, I was browsing through dragon-related stuffs when I stumble upon something that has me questioning. Now, you guys should know that Hiccup lost one of his leg after defeating the Red Death. One of the most logical theory is that Toothless didn't wrap Hiccup fully, so his leg was exposed to fire. There has been other theory that it was cut off by one of the Red Death's spike, or his leg break after Toothless crashed.

By now, I don't really have more theory that I could think about but someone mentioned that it could be Toothless' fault. So here's an explanation.

Both of them got hit by the Red Death's tail, knocking Hiccup unconscious. Hiccup is getting closer to the fire beneath so Toothless must sacrifice himself by saving Hiccup before he would burned off. Now, in a situation like this, Toothless would probably not make to Hiccup in time, so he need to do something to slow down the 'time'. Now here's what made Hiccup lost his leg according to this theory: Toothless grabbed him by BITING his leg. This could severely damage his leg, so it needs to be amputated. This makes sense, Hiccup was falling head-first so the nearest thing Toothless could get to is Hiccup's leg.

Evidence? In the second movie at the Peg-Leg scene. When Valka said to Hiccup: "Did Drago or his trappers do this too (injuring Toothless)?", Hiccup replied that he did it but along the way he did said "Right, bud? You couldn't save all of me, could you? You just had to make it even." Note the bold texts. It probably means Toothless had no other choice than to bit him so Hiccup can be saved, thus injuring Hiccup. This is quite similar to how Hiccup shot Toothless down, making Toothless lost one of his tail fin and injuring him.

What do you guys think? This is interesting to me but there is a problem for this theory. Toothless got a retractable teeth, he could've used that to save him. Anyways, reply in the comments if you find this interesting too.