I don't think the issue is playing Raddysh or Sheary, I think both are reasonable NHL bottom 6 players. The issue is playing Raddysh AND Sheary AND Brod all in the same lineup. As kreider wrote, when you are playing ALL 3 of those guys, you are in trouble. For my money, I think Raddysh and Sheary are both better than Brod, and if I had to play 2 in the bottom 6, I would play those guys before Brod.
It is mind-blowing to me why Perreault was sent down. I don't understand the logic and mindset at all. Think about it, Sullivan RIGHTLY said he gives the team more depth and balance, the team then went 3-0 with him in the lineup, and you send him down FOR WHAT, to play Brod? It makes absolutely zero sense.
Bring Perreault back up, put him back with Miller and Zibanejad, play Cuylle on the 3rd line to give the team depth and balance, and stop the nonsense.
After Cuylle and Laba anchoring the 3rd line, the other 4 spots should be Carrick and Edstrom for sure, and then I am fine if they played Raddysh and Sheary. I think they both slot in reasonably well as 9th to 12th forwards.