I disagree. I believe they would be much more difficult and drawn out.
Say a candidate wins the popular election by a very thin margin. A recount may be demanded. Instead of isolating which state(s) the recount would have an effect in we would have to recount EVERY vote. This takes time and money. Often things small municipalities are in short supply of already, even some large ones. Say this changes the vote. The original winner would then demand another recount. Where would the madness end?