Allen was daring and suicidal enough to be one of the first protagonists who would torture their own system. He was well aware that if he walked down this path, he would inevitably die, but so was the system.
He would rather die than be a slave of the system. And if his life was the price for killing the system and preventing himself from being a slave, so be it. Death was inevitable anyway, and dying at a young age would only mean that he had received that inevitable outcome a lot earlier.
With that in mind, Allen resolved himself to his inevitable death as he walked the path of self-destruction—where he would torture his own system.
Although he already accepted that fate of his, he still wanted to know what the fuck was the liquid that he had stepped on to force him to have such a fate.