If you put caulerpa in your main tank...and it adheres to your LR...you will most likely always have problems with caulerpa in your tank...
And I do not believe it would help the curing process...try heat, air, circulation and scrubbing the rock gently every couple of days...after you scrub...change 50% or so of the water...the heat will aid in die off to decompose...around 88 degrees is where I usually do it...sometimes even 90.