Is this really representative of the traditional recipe?

I've had Coquito several times in the past and I want to make it myself for Christmas this year. Any thoughts or suggestions on this recipe I found would be very much appreciated. Also, can you substitute dark rum instead of white or does it change the taste? Thank you so much in advance for your thoughts.

I've had Coquito several times in the past and I want to make it myself for Christmas this year. Any thoughts or suggestions on this recipe I found would be very much appreciated. Also, can you substitute dark rum instead of white or does it change the taste? Thank you so much in advance for your thoughts.