There is no evidence to suggest that Tim Allen disliked Jonathan Taylor Thomas during their time working together on Home Improvement. In fact, Allen has spoken highly about Thomas's talent and professionalism in numerous interviews throughout the years. Their on-screen chemistry was one of the show's major strengths, which makes it unlikely for there to have been any animosity between them off-camera. It's important not to confuse fictional dynamics with real-life relationships when discussing actor interactions.