More can be written, but you may like to read these previous discussions concerning the extent of public knowledge of FDR's condition:
"How well was FDR's paralysis hidden from the general public?" by /u/lord_mayor_of_reddit
"What is the modern view on the "gentleman's agreement" between the presidency & the media that kept, for example, Wilson's stroke, Roosevelt's reliance on a wheelchair, and Kennedy's infidelity, under wraps?" by /u/Thurgood_Marshall .
This is not to discourage discussion. More questions, data, and debate are welcome.