OTOH, If this is real, then we'd have to believe that she coughs like this all of the time but has not gotten it treated, or she only coughs like this while giving public speeches. It certainly wouldn't be the biggest whopper she's ever told if I'm right.
And, actors could do this on a whim if the role called for it.
Unless and until something occurs to prove otherwise, I'm not going to take any stock in this.
Her difficulty moving her legs indicates something more serious than succumbing to heat.
Cough episodes often depend on timing of medication. Patients with COPD or lung cancer do not cough non stop it is episodic. So is her cough.