This is why, IMO, hard mode is bad.
It's in an important sense actually easier! Sure, good play results in more guesses than in not-hard-mode, but that would be like saying a 100m sprint is easier than a 2-mile race because the latter takes longer. The more interesting measure of difficulty is how hard it is play optimally. And since the search space for not-hard-mode is bigger, I'm pretty sure it's harder.
But more importantly, hard mode is also less fun, and this thread demonstrates exactly why: the creative aspect is coming up with le mot juste for quickly honing in on the right answer. Hard mode takes away your tools to do that and sometimes even results in a thoughtless guessing game.