How to become Hybrid airship Pilot?
Yes, they are different.  A hybrid airship has the characteristics of an airship, but it also generates lift based on its aerodynamic shape (like a powered aircraft wing).

The FAA defines an airship as having both "Lighter than Air" and "powered aircraft" characteristics.  A hybrid airship falls under the characteristics of an airship, in this sense.  However, as with any aircraft, a specific type rating may be required for a hybrid airship.

Therefore, the path to certification as a pilot of a hybrid airship will likely be very similar to, but distinct from, a typical pilot.  In particular, it may be added on as a rating to an existing pilot certificate.

https://www.faa.gov/training_testing/testing/test_standards/media/FAA-S-8081-18.pdf