Rotax and Bombardier are separate companies. The motors Bombardier uses are designed and built by Rotax, and have been for many years. The Bombardier badging on the motor means nothing about who designed and built it, they were all built by Rotax. Bombardier simply put their name onto the Rotax motors.
You aren't hallucinating. Bombardier Recreational Products, that manufactures snowmobiles, quads and Sea Doo's, recently sold, and decided to rename their quad line as Can Am's.