While I agree that theoretically there are many positions that a rookie being picked 32 or later might contribute in as a rookie, I personally find it unreasonable to expect a rookie to be a major contributor, except at OG.
And I'm fine with rookies taking a year or two to make significant contributions. We have a fine team, with depth at almost all positions. We'll see who we lose in the next week, but I suspect that almost anyone we lose will be replaced by a veteran free agent.
Ideally, we will go into the draft without a real "need". However, it does seem very likely that Belichick will want to add an OG, even if the player needs a year to develop.
Also, while it is "possible" that an OG is drafted in the first round, later is much more likely. Belichick is starting a center he drafted in the 4th. Why should he suddenly thinks that he needs to use a first for a guard? I certainly would NOT object to an OG at 32 or even a move up to get one.