Generic cdf function versus a specific one

Is it slower to use the cdf function rather than the specific cdf function for a given distribution? For example, will a = wblcdf(X,A,B) be faster than a = cdf('Weibull',X,A,B)? The cdf function simply calls each specific cdf function depending on the named distribution. I want to use the cdf function because the distribution name is an input parameter, but I also want my code to be efficient.