The idea that some sunscreens are potentially causing cancer is gaining some traction in the US, but not quite in the same way as you witnessed on Facebook.
As far as I understand it, it’s not so much that all sunscreens cause skin cancer but some ingredients in chemical sunscreens are suspected to be carcinogenic and are absorbed by the skin at levels higher than are known to be safe.
See brief article from Yale medicine Here
There are plenty of sunscreens available in the US market that do not use these chemicals. A good few of these are also marketed as reef friendly, as certain chemical sunscreens are banned in certain states anyway, e.g. Hawaii, due to the harm these chemicals are causing to coral reefs.
SPF clothing ie. long sleeved swim rash vests are also being proposed as part of the solution until more is known.
My dermatologist (not Yale) has advised me to be cautious so yes, I’m reading the ingredients labels of sunscreen.
I don’t think there is the suggestion that sunburn is better than sunscreen. If someone is arguing that, they may have the wrong end of the stick.