Which puts them three stages away from whales. It’s like saying dogs and cats are both carnivora. Yes, they are. But so are pandas, bears, otters, sea lions, seals, mongoose, walruses, racoons, skunks, etc. An order is a VERY broad grouping (canivora and cetacea are only one level down from mammalia.)
http://Dictionary.com shows the hw pronunciation as well as if the h was not there in the spelling. So they can be pronounced the same or slightly differently.
Trout’s mother’s washing machine also has an “oh, my GAWD!” setting.