OK to use Wyatt BM in H-S/Badger apps?

[Bayou]

I currently have a Remy 700 action in a Bell & Carlson stock with Wyatt bottom metal. I'm thinking about replacing the action with a Barnard Model SM. The Barnard US distributor website, MT Guns, says this action can use H-S or Badger bottom metal. Anybody here know if the Wyatt set-up I already have will also work? Thanks!