@Lola,
I read about it but didn't see it. I get gravel voice once in a while if I haven't been talking or humming or laughing in a day or two and I suddenly answer the phone.
I'm guessing strain could do it. And, of course, meds. Maybe antihistamines.
Then there's public speaking - I remember giving an hour talk to a couple of hundred people once, and as I was being introduced could barely remember my subject. Luckily I was fast on my feet. Another time, state board examination, I turned ice cold waiting for the interview. Neither of those needing water, I would have spilled it.
Rubio has plenty of public appearance background, so that shouldn't be it, but perhaps it was a highlighted appearance for him, he suddenly realized it, and needed to do something to get back in gear.