Capacitance increases with power rating as Rs decreases. SiC material has a much lower RsC=Tau material time constant but other factors affect Tau (Figure of Merit) such as PIV which raises Rs or RdsOn in FETs or Rce in BJT's or IGBT's. There isn't a precise constant yet there is a consistent trend for diodes with these variables of semi- material, geometry and power rating or chip size.
However frequency is a parameter that does not change the capacitance structure of the insulation between conductors hence the value does not significantly change in this range.