H. ornatissimus is a VERY pretty fish, but can be bossy -- IME their personality is somewhat like a sixline or other boisterous wrasse. Mine gets along with the tang, angels, goby, midas blenny, damsel... everyone but the Potter's wrasse (which was established first). The Potter's is a different shape & colour and I was assured they would get along. They did, for a time, until the ornate got comfy in her new surroundings and decided she was in charge of things!
In short, provided you don't want to keep any small shrimp like peppermints, which the wrasse may attack, and you're not keeping small/timid fish, you should be just fine.