Not once they think about it. One of the many advantages of the state based electoral college system is that it isolates vote counting issues to a particular state. So you can have a recount in one state, or a dispute about what happened in one state. But as soon as you have a nationwide popular vote election a recount means you have to recount the entire country.
An obvious improvement is to count the electoral vote by congressional district, instead of whole-state, winner take all. It should be one EV per CD carried, plus the state's two extra for winning the majority of the CDs, or in the event of a tie in CDs, the state's popular vote.
And get rid of the electors! The electoral vote should be automatic. No need to sweat reprobates like Chris Supren! His existence generated needless news, distracting the public from the real issues.
Consider California, an overgrown state, if ever there was one. HRC won California's popular vote and, thus, all of its 55 electoral votes. But if the electoral vote were by CD, DJT would likely have won the fifteen of California's 53 CDs that elected Republican congressmen.
A proper system would compensate for California's disproportionate size and would firewall the effect of its lax immigration policies. The same goes for other states housing fraud-ridden, old-time Democrat urban cesspools. At any one location, cheating would at most win one or two CDs, instead of a whole state.