The FDA says it is not true (the FDA says laser is permanent and does not cause more hair growth). Some follicles do have the ability to grow more than one hair, which might confuse people; if the first hair is dead, but a second one pops up at a different point in the growth cycle, someone might think it was the original hair/new hair being made.
I had laser done over 7 years ago now, and I'm still glad I did. It was cheap, took less than six months, removed all but half a dozen facial hairs, and I've had no regrowth or new growth.