It bears repeating that in the last 8 years, when the Jets desperately needed to acquire a franchise QB and the Pats definitively did not, here are the rookie QBs that two franchises drafted/signed as UDFA.
2009 Mark Sanchez 73.9 Career Rating
2011 Greg McElroy 79.2
2013 Geno Smith 72.4
2014 Tajh Boyd N/A
2015 Bryce Petty 60.0
2016 Christian Hackenberg N/A
2009 Brian Hoyer 83.3 Career Rating
2011 Ryan Mallett 66.8
2014 Jimmy Garoppolo 106.2
2016 Jacoby Brissett 81.5
No Jets acquisition has been better than Hoyer in their career, even though they spent a high 1st, a 2nd, and two 4ths on that position.
The Jets also played Ryan Fitzpatrick, who compiled a 70.0 Rating as a Jet, and Josh McCown, who is currently rocking a 95.3 (the future!).
I believe that the Pats got assets back in return from every QB except for Hoyer, and the Jets received none for theirs.