Yes, but in davidjohnstone’s link which yoodenvranx is talking about, what that Wikipedia page calls HSL is being called HCL, whereas what you are calling HCL is being called Lch. (CIE LCh or CIELCH, optionally with a subscript 'ab' to distinguish it from the cylindrical version of CIELUV, would be a better, relatively unambiguous name. By convention, the C should be capitalized.)