I work at Deadlywind, so I might be able to help some.
The Fiburs will work with any of the Smart Parts, GoG, and Empire Super Freak inserts, so yes the one(s) in your link will work fine.
Fibur barrels you actually *can* swab, squeegee, pull-through, etc. When cleaning, you can treat it like you would an aluminum barrel and you will not damage it nor void the warranty.
Merry Christmas!
