Ya, he actually should.
Kane: 595 GP, 193 G, 176 A
Skinner: 599 GP 218 G, 182 A
Over an 82 game season for their career, on average:
Kane scores 26 goals, 24 Assists, 50 pts
Skinner scores 30 goals, 25 assists, 55 pts
Kane provides a physical presence and kill penalties. Skinner does not.
I won't argue that Skinner is a better offensive player than Kane, he is. But, if we are only looking on the ice, Kane is a much more well rounded player and brings a lot more to the table. Sure there are off ice issues as well, which is why we moved Kane rather than sign him.
But the idea of paying Skinner more than:
Stone, Taresenko, Kunetzov, Johansen, or Kessel is sheer lunacy. Skinner has never been an elite level player. Not only would be we overpaying him for whatever peak years he has left, he'd be a bobby ryan level albatross contract when he slows down.