"Haybine" is actually a registered trademark name for New Holland only. Athough many people will call any brand of sickle cutter with a crimper a haybine, it is not technically correct but is understood nonetheless . All other brands of these that are not New Holland should be called mower conditioners or moco's for short.
Just like many people call any brand of copy machine a "Xerox" machine instead of a photo copier - or any brand of locking pliers "Vise-grips". Really the trademark names sometimes get commonized due to either being the original inventer or simply becoming the most populous in the market.