Wisconsin has a Center that they signed in the 2010 class named Evan Anderson. 4 star recruit, ranked 16th in the nation, 6'10'' 250. He redshirted his freshman year, and has played maybe a handful of minutes this year.
Illinois also had a big Center recruit in the 2010 class. Myers Leonard was a 5 star, 6th best in his class (position), 6'10'' 220. Last year as a freshman, he averaged 8 minutes and 2.1 points per game. This year, he has gotten stronger and is one of their best players.
Neither were as productive as you would expect in the first year(s). They are both former big recruits (4 or 5 stars) as true Centers, and they seem very comparable to Woodbury.
The real counterexample is the freshman from Indiana, Cody Zeller. To me, he is exceeding expectations and playing at a Sullinger like level (1st year). He didn't "need any time to develop, mature", he just stepped in and has been dominating. I haven't seen Indiana too much so correct me if I am wrong, but he isn't a true center. The Indiana athletic website lists him as a forward, and I think that makes a huge difference. Being an actual Center (a rarity in modern basketball) is a whole different animal. All four of these aforementioned guys have some similarities. However, the true Centers take longer to develop, and it makes sense.
I think Woodbury, like Anderson and Leonard, is a huge recruit for two reason. 1) he is good and worthy of scholarships. 2) He is 7'1". That is what makes him a 4 star. He doesn't dominate in HS the way he should.
I think that it will take a while for him to be comfortable and effective at Iowa, as it does with most centers.