So long as you get it handled now, you should be fine. I found out about most of these bogus accounts long after the companies involved sold off the bad debt.
Sorry to hear that you’ve had to deal with the identity theft for so many years. I hope the problem will be resolved finally, once and for all, for you soon!
I’m still receiving notifications about new accounts, by the way. The thieves have been very busy little bees with my name and information.