that's fascinating. if everyones early algae invasion happened that way we'd all have it much easier.
You ought to pull up a thread running right now called how long did your uglies phase last, and read that for sure, it applies to your tank.
The way my yapping there ties into your tank is: this was your happenstance. A macro algae hitchhiker that nearly any grazer would want, tang keepers only wish they could grow this naturally. All invasions are a matter of allowance, and luck or unluck. yours is allowance plus luck, if you didn't remove that, and chose to let it run its course, it could never actually overtake your tank as its highly receptive to peroxide and we could burn it all out in one pass.
that being said, like in that reference thread, this is your chance to earn/learn hand force cleaning, so that one day when you are not lucky, you are practiced, which is better than lucky. in my opinion you should clean it for the practice of being in control of your tank, at all times, and not for one second allowing the tank to take control. You've bought fine live rock; don't plug that up with inaction, keep it open and breathing by cleaning it outside the tank occasionally as needed, true exportive cleaning.