There are creative differences between different schools. It is a rich, delightful and powerful tradition. After thousands of years, it is still living and potent. Generally, those who are influenced by Yoga in these traditions are on the margins of their respective religion. A personal sense of unfulfillment in their respective tradition has been responsible for their taking to Yoga in the first place.
People respond very differently.
But to encounter Yoga in a deeper way is to challenge and enrich one's particular tradition or philosophical system. Yoga is not an abstract entity. Yoga is some specific school devoted to specific practices. It is attached to certain beliefs. We need to look at each case and find out how it manifests itself in any school or tradition.