Lets assume the Cs end up in the lottery, and that we get a high enough pick to land one of the holy trinity of Wiggins, Parker or Randle. Or conversely one of those three falls to us. Scenario one New Orleans just called saying they will trade us one Anthony Davis and filler for the rights to Wiggins/Parker/Randle plus Sully and Green. Scenario 2: Detroit call and offer us Monroe for the same package. Do you bite on either offer or say no like Nancy Reagan.
The way you asked the question is bizarre, because it's straight-up ridiculous to compare Anthony Davis to Greg Monroe.
Anthony Davis >>>>>>>>>>>> Greg Monroe.
Davis is 20 year old franchise big man that you can build a team around for the next 15+ years.
Greg Monroe is a pretty good 23 year old starting big. He might never make an all-star team. With the way Sully is playing, I'm not even sure I'd trade Sully for him.
So you're basically asking me would I give up Parker, Sully and Jeff Green for Anthony Davis?
I guess it's a fair question... Davis is the second coming of KG/Duncan. He's already proving what he is... 20 years old and averaging 20 points, 11 rebounds, 4 blocks and 2 steals. Probably will win many defensive player of the year awards. Having a dominant big man is the quickest route to championship contention. But if scouts are right about guys like Parker, Wiggins and Randle... they might prove to be megastars as well... perhaps even exceeding Davis.
I trust when the scouts say these guys are the best prospects in a decade, they mean it.
Instead of answering your question, I'll just share a bit of relevant history:
Rewind the clock to 1984. Pretty huge draft with some can't-miss prospects entering: Akeem Olajuwon, Charles Barkley and Michael Jordan.
The Rockets already had a dominant 23 year old 7-4 big man by the name of Ralph Sampson. Sampson had just averaged 21 points, 11 rebounds, and 2.4 blocks. He had been the 1983 #1 pick, won rookie of the year and was already an all-star. For all intents and purposes, he's our Anthony Davis equivalent.
The Rockets had the #1 pick and smartly took Akeem. The Rockets then offered Sampson to the Portland Trailblazers for the #2 pick in the 1984 draft and some kid who had been picked #14 in 1983. The kid who had been picked 14th was some underachieving 21 year old SF coming off a season where he averaged a mere 7.7 points, 2.9 rebounds in 17 minutes. Basically less impressive numbers than 21 year old Jared Sullinger. Here's how that trade looked on paper:
Rockets offer:
7'4 23 year old dominant Rookie of the Year center: 21 points, 11 rebounds, 2 blocks
Rockets receive:
1984 #2 pick
21 year old SF who averaged 7.7 points and 2.9 rebounds
Now of course... we can say with almost certainty that the #2 pick would have been used on Michael Jordan. The 21 year old SF was a young Clyde Drexler. Had the Rockets successfully pulled off this trade, they would have ended up with Hakeem, Jordan and Drexler.
Portland turned them down. Their front office was obviously moronic... they took Sam Bowie with the #2 pick (considered a idiotic move even as it happened... Jordan was a can't-miss prospect and Bowie was a mediocre big man with an injury history). But it's interesting that they basically passed up on the 1984 equivalent of Anthony Davis in order to use their pick in a transcendent draft and hang onto their young asset. Basically the equivalent of keeping Jabari Parker and Sully when hypothetically offered Anthony Davis.