I recently used a bright pink FriXion pen to mark a whole cloth WHITE quilt. I had heard about the controversy about the ink coming back when cold.
Once I was done quilting, I ironed the marks away.
Then I washed the quilt in TIDE detergent. I took the damp quilt and put it in the deep freezer for a couple of hours. Then cracked open (srsly) the quilt and there were no marks to be found. So then, and only then, I tossed it in the dryer. There are no signs of the marks after washing.