Mike Gesicki was clearly mis-used by a coach that was too in love with his own offensive system and play calling structure to adjust things to what he had on the depth chart. That's the bottom line.
Your grandmother probably could have mapped out on a napkin the basics of how a Mike Gesicki should be used in the NFL, especially as a rookie. Yet Adam Gase had him lined up on the shoulder of the tackle about half of his snaps, and he had him staying in on pass plays to pass protect about 1 in 5 pass snaps.
For reference, when Aaron Hernandez was with the Patriots in his heyday, over a two year period he lined up on the shoulder of the tackle about 13% of the time, and he stayed in to pass protect on like 1 out of 25 pass plays. So a rookie Mike Gesicki pass protected literally 5x as often as a veteran Aaron Hernandez.
I think Miami will get back to that, considering they have the same coaches that were in place during that Gronk/Hernandez heyday, including TE Coach George Godsey.
But in order to make that work, you obviously need a Y. The Patriots conveniently had Rob Gronkowski for Aaron Hernandez's entire career. But they also had guys like Daniel Fells, Michael Hoomanawanui, Visanthe Shiancoe, and Rob's brother Dan Gronkowski. They made sure they had bodies at that position that could get in there and play next to the tackles, and be relied on for pass protection.
Hence Miami signed Dwayne Allen and Clive Walford to compete with Durham Smythe and Nick O'Leary.