Do many other teams have late round 2016 picks getting meaningful minutes in the SHL?
No.
2016 Swedish drafted Dman (first time eligable) playing in Sweden (TOI is for SHL, Champions Hockey League don't have listed):
Linus Nässén (89th OA): 1 SHL game, 1 CHL game (0:55 TOI/G)
Filip Berglund (91st OA): 7 SHL games, 5 CHL games (6:48 TOI/G)
Jacob Cederholm (97th OA): 2 SHL games, 3 CHL games (5:36 TOI/G)
Linus Högberg (139th OA): 8 SHL games, 2 CHL games (9:47 TOI/G)
Jakob Stenqvist (176th OA): 3 Allsvenskan games
Arvid Henriksson (187th OA): 0 Pro games
David Bernhardt (199th OA): 4 SHL games, 4 CHL games (8:08 TOI/G)
So yeh... of every single Swedish first year eligable Dman drafted the two the Flyers took in the 5th and 7th rounds are playing the most minutes in senior hockey and have played 2nd & 3rd most games.
Plus they are both on Sweden U20's roster for the 4 nations in Gothenburg at start of November. None of the other 5 are... (though Nässén, Berglund & Cederholm have played for U20 side this year already.)