Cobra pro tip: I switched jobs 7yrs ago and went on to private insurance for about a yr afterward. My new insurance guy told me to tell my previous employer that I was indeed interested in Cobra suring my exit interview. He said I had 60 days from leaving before I would actually have to pay a premium and basically got two months coverage for free because on day 59 my private insurance kicked in and I didn't pay a Cobra premium. That was in the horrible state of Missouri and seven yrs ago. Not sure if that all still works.
Sort of true. It's not technically free.
If on day 59 you fall and break your arm and go to the hospital, you can elect the COBRA benefits. BUT you would have to pay the premiums for the past 59 days. In most cases, the COBRA premiums would be more than a trip to the ER. But if you ended up having a lengthy hospital stay, you could retroactively enroll in COBRA.
But if you went to the doctor on day 59 and hadn't paid the premiums, it would not be paid by your former plan.