Finnegan struggled to keep his pitch count down last season, partly because he was caught by Ramon Cabrera 12 times last season. Cabrera ranked 113 of 114 MLB catchers last season in pitch framing.
Certainly Finnegan's issues working deep in games can't all be attributed by pitch framing, as he was fourth in NL starters in 16.8 pitches thrown per inning. But in addition to working on his fastball command, having a catcher receive that fastball better will certainly help.