A report about cats treats their leftover water as pure, citing their constant movement around people:
إِنَّهَا مِنَ الطَّوَّافِينَ عَلَيْكُمْ وَالطَّوَّافَاتِ
Translation: They are among those that move about among you frequently.
The report explains why cats’ frequent household contact is not treated as ordinary definite impurity. Dislike remains a separate question.