I can't comment on this specific application but in general Beehive springs allow a lighter retainer with a smaller OD and themselves have less mass to move. Due to the shape they are less prone to harmonic problems. I believe they are wound from ovate wire also which has some advantage. Supposedly can do the job with less pressure, reducing parasitic losses, wear and heat.
I'm not seeing them in the extreme race engines yet but they are very popular in milder performance applications like hot street cars and street/strip applications.
