The TSA replied back to me this morning. This was their response:
"Our website incorrectly reported that sunscreen containers larger than 3.4 oz. were allowed in carry-on bags if medically necessary. That error has been corrected. Sunscreen in carry-on bags must be 3.4 oz. or less. Larger quantities should be placed in checked baggage."
So the TSA made a mistake, smh. Full-sized sunscreens are NOT allowed in carry-ons. I apologize for any inconvenience or confusion my original post might have caused. I took removed it to not cause further confusion and misinformation. I just wanted to take ownership and follow up.