The nature of a comparison is that it isn't exact. I said he reminds me of a Michael Kidd-Gilchrist with a jump shot. I think it's a very good comparison.
Similarities: Both guys are tremendous athletes. Both guys are scrappers. Both guys are playmakers. Both guys will do whatever you need doing in order to win games. Both guys are stat-sheet stuffers- points, rebounds, blocks, steals, assists, etc. Both are 6-7 and play small forward or power forward in a pinch. Both guys step up at key moments- they don't shy away from the moment.
Differences: biggest difference is Edwards has a much better jump shot and he can shoot it with range. MKG couldn't hit the broad side of a barn. Edwards appears to be a better ball handler than MKG was. MKG seems like he was stronger while at UK.
As for the Monk comparison, I don't see it. Monk was more a pure shooter, scorer and didn't have the all-around game I see with Edwards (or with MKG). He's 3/4 inches shorter and was pretty much a shooting guard and couldn't really do much else.
But hey, it's not stupid to make comparisons. Why don't you tell us why the comparisons don't make sense to you instead of just brushing it aside with "stupid."