Sadly, a lot of agents give out bad information when it comes to car rental coverage and other insurance. I have found it best to communicate directly with the issuing company/carrier and maybe even make two contacts to make sure you get accurate information. It is always best to do some research yourself also.
Having been on Medicare myself for a few years now (but I do still carry regular health insurance as my wife is still working and it beats a lot of the other options), I have done a lot of learning and research and also ran into a lot of misinformation. We are going through some major changes with "open season" on my regular insurance and it has been a fiasco trying to navigate it. An in-person health fair was basically useless and even trying to call an assistance number has been a joke.
Good luck.
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