Vincent didn't have much of a visible reaction to his state of paralysis. 

Well, of course he didn't. He was paralyzed, after all. 

That didn't stop his mind from rushing into a volley of torrid mental curses at his sheer bad luck. At the very least, it seemed he could still breathe- that much kept him from outright panicking, along with the sensation of the poison being washed out of his body by the Antitoxin, and he just grunted as Alexander stepped over, poked him to see how severe the state of paralysis was, and began to rummage through his pack for a rope. 

It seemed his tongue had been paralyzed, so grunting and low groans were the most he could manage in this state; so he just offered Alexander a second grunt of assent as he began to secure the rope around him and mentioned leaving the coat behind. It was a pain, but he couldn't debate the point- he'd ended up in this state even after downing that Antitoxin, Gods knew what would happen to Lynn if she got some on her. After that, Alexander finished securing him and lifted his paralyzed body onto his back. 

It wasn't exactly the most dignified way to leave the Labyrinth, but it was better than getting dragged out, he supposed. He just hoped that Lynn would remember to grab his case as well as Alexander's pack- that at least had avoided getting covered in any of the poisonous slime.