“othello in hamlet, hamlet in othello” etc etc
except othello wouldn’t do any better in hamlet than hamlet did
othello very much does wait to receive more information. othello doesn’t act until he’s positive he’s got definitive proof of desdemona and cassio’s guilt
othello gets sick of iago’s “maybe they’re cheating, maybe they’re not” SO quickly and threatens to kill him if he doesn’t show some form of proof of his accusations and suspicions
if othello were in hamlet, he’d tell off the ghost for saying things with no evidence to back it up.