No, Four Line and Six Lines are completely different species. There is also an Eight Line. Sometimes the Mystery Wrasse is called a Five Lined or Five Bar wrasse
Four Line Wrasse (
Pseudocheilinus tetrataenia)
Five Line Wrasse (
Pseudocheilinus ocellatus)
Six Line Wrasse (
Pseudocheilinus hexataenia)
Eight Line Wrasse (
Pseudocheilinus octotaenia)
So, not only would you might have first ever recorded breeding of these wrasses, but you might also have the first ever cross-breeding of those lined wrasses!
I'm very excited for you. I hope it happens again and you have a video camera handy or a video option on your camera.