IMO I think you really need 2nd line guys to PK. Not all, but your center and maybe a wing. Then the whole 3rd line should be able to PK. Ideally with an ace specialist on the 4th line.
Let's look at the last few Cup winners SH TOI (top six only, in order):
2021 Tampa Bay: Goodrow, Coleman, Cirelli, Killorn, Gourde, Stamkos (Stammer at 38 seconds per game, far behind the other 5)
2020 Tampa Bay: Cirelli, Goodrow, Killorn, Coleman, Pacquette, Gourde
2019 St. Louis: O'Reilly, Steen, Sundqvist, Barbashev, Bozak, Schenn (Schenn at 36 seconds per game, far behind the other 5)
2018 Washington: Beagle, Eller, Wilson, Chiasson, Stephenson, Smith-Pelley
2017 Pittsburgh: Cullen, Bonino, Hagelin, Fehr, Kuhnhackl, Rust
2016 Pittsburgh: Cullen, Fehr, Bonino, Hagelin, Porter, Kuhnhackl
2015 Chicago: Smith, Kruger, Hossa, Toews, Saad, Desjardins
2014 L.A: Stoll, Kopitar, Lewis, Richards, Carter, King
I think we can see here there's a slight mix of some 2nd liners but not a lot. Mostly 3rd/4th line guys outside of the obvious two-way mega studs like O'Reilly/Toews/Hossa/Kopitar/Richards/etc.