Agreed. Schizophrenia does not take away your moral reasoning, it warps your understanding of reality so that your moral reasoning does not apply. If someone rapes a kid while having a schizophrenic episode, they don't do it because they like kids, they did it because the light of God shone through a window and a booming voice told them to sire the Messiah, or because they are so far gone from reality they don't even realize their penis is inside of a crying child and they think they're fucking Catherine the Great. The surest sign for me is that schizophrenics who do awful shit while in the grips of an episode are regretful and horrified by their actions when they come down.
Tom displays none of that. He was lucid and cognizant when he raped Sabrina. If you put a gun to my head and forced me to defend Tommy Tooter, I might allow that his disease made him unable to appreciate the nature of consent in that instance. However, Tom has moments of reasonable lucidity, and he displays zero remorse for his actions. He fully believes he was in the right with Sabrina, and he fully believes he is in the right when he abuses animals.
This is anecdotal and second hand so take it however you wish, but I've heard of a schizophrenic woman who heard voices telling her to hurt her family; instead, she did to herself what the voices told her to do to others, which resulted in her killing herself. That is how much moral agency a schizophrenic can maintain if they acknowledge their disease and make a commitment to not harm anyone because of it. None of which Tommy has done.
Underneath his space jew delusions, Tom is a vile, disgusting man who earnestly believes he's the center of the universe and should be allowed to indulge his every depraved, id-formed impulse. He is a legitimate danger to himself and others, but not because of his disease. Rather, it's his choices that make him a bad person. He is a walking argument for bringing back lynchings.