I think part of the dichotomy is in CP's history and CP's present.
Historically, CP has been a family gathering place, especially in the Sandusky area. However, while CP survived the great decline of the Depression and second decline in the mid-50s, they lost a lot of their family draw. CP is still a family park, but now, with the advent of Disney and the like, CP is straddling the line between the Disney-style family parks and the SF and Paramount-type thrill parks, there is Cedar Fair and Busch Gardens trying to placate both. CP tries to be a family park, but let's face it -- it's known for its coasters. Forgive us for not toeing the line, but we love CP for the coasters.
[Heck, the other address is rollercoaster.nu...]