All it takes for Hill to lead the team in snaps is Darren Waller to miss half the season with injury... oh yeah, and for Dulcich to be active for a little more than half the season, and both he and Conner to suck so royally that Conner was waived outright late in the season.
The bigger question you should ask is why a team so desperate to find TE help they signed a 33 year old Waller out of retirement and allowed a restricted free agent Julian Hill leave the team.
Oh yeah, and he's not some revelatory blocker either, he is comparable to Austin Hooper as a blocker but much less a receiver. He's not some road grader, I suspect they've looking for CJ Dippre or a draftee to improve the overall position. The good news is he plays special teams, that gives him a leg up to actually help the team.