Thermal event with tattoos

I’ve had cool sculpting done on abs and flanks. During consultation, I was asked how old a couple of tattoos were, as they can sometimes cause false thermal events. Sure enough, it did. First time I got down to 3 minutes left, and was told I still got the full benefit. 2nd time I only made it about 10 minutes in. She said it’s a known issue, but not known why. We are gonna try again, but she’s concerned it may never complete with as early as it triggered. Do I have any hope?