One of the most instructive descriptions of a pollaxe bout in the literature: Look at the mention of strikes without specifying the part of the axe used (presumably meaning the mail was used by default), but then the strike to the fingers, which does, specifically saying the "sharp of his axe," meaning the taillent; the mention of striking the "bars of his visor" (meaning they were wearing grilled visors of the kind many of the LH crowd says didn't exist); the fact that he struck to the visor with the "handle" (i.e., the queue) of the axe, just as we're taught to do in Le Jeu; and the fact that he worked to disarm his opponent, which is one of the most highly favored tactics in Le Jeu.
How they marched one against the other; each doing valiantly.
And when the Mareschal had given them leave to go, as they advanced one upon the other, you had thought they had been two lions unchained. But there was this difference; as Saintré was making for him, he cried aloud, that all might hear him, “Hah, my ever-gentle dame, and whose I am!” and then they began to fall upon one another. Then Sir Enguerrant, who was a most valiant Knight, strong and powerful, and larger built than Saintré, raised his axe, and dealt him such a blow upon the shoulder that he made him reel, while Saintré, in return, struck him with the handle of his axe upon the bars of his vizor, driving him several paces back. Then Sir Enguerrant elevated his axe to strike a second time; but Saintré, making for him, gave him such a cut over the hand with the sharp of his axe that neither guard nor anything else could avail, so that all his fingers were smashed and benumbed. Sir Enguerrant, who was now hot, nor knew anything of what had happened to his fingers, thought again to lift his axe, and it was only then he began to feel the pain, and that he could no longer wield it. So, as a wary and a dauntless Knight, holding his axe in his left hand, he opened his arms to seize Saintré by the waist. But when Saintré perceived his aim, he continued to strike, nor ever once let him approach. And when he saw his moment, all on a sudden he gave him such a blow on the hand in which he was holding the axe, that he sent it flying in the air; and when Sir Enguerrant saw that his axe was gone, in sheer desperation he rushed upon Saintré, to close with him, catching him by one arm. But when the King saw the axe of Sir Enguerrant upon the ground, and the two together by the middle, as Prince and Judge sovereign, he at once threw down his wardour, and said, "Ho, ho!" Then were the two champions separated by the guards. Then the King, by the Mareschal, called the two champions before him, and then had said to them, “You, Sir Enguerrant, and you, Jehan de Saintré, the King desires you should know, that you have each so nobly and so valiantly acquitted yourselves that it would have been impossible to have done better; but, according to the articles, the Lord, the King, who here is, has recognized that the combat was to end either when one or other of you were borne to the ground, or either had lost his axe from both his hands. So, by the terms, Jehan de Saintré, the Lord, the King, adjudges to you the prize.”
Vance, Alexander. The History and Pleasant Chronicle of Little Jehan de Saintré. London: Chapman and Hall, 1863, pp.128-130.