Yes, there would be an attempt to cover up Trump's demise but, even with the high quality of deep fakes, the massive distrust of Trump and his party would focus on exactly that expectation.
Who knows, he may be dead already or on a ventilator in the WH with Trump impersonators churning out ridiculous tweets. But what would be the end game?
Of course stupidity rules with the people in charge. Maybe on day in two weeks the White House is found to be abandoned and the entire gang has decamped to Moscow because they ran out of fakes.