Just back to first principles: I would match any cartridge, no matter what type, to its tonearm, without much regard for which table the two are mated with. The only limitation with a spring-suspended chassis like the Linn's would be the weight of the tonearm and whether that constrains the choice of tonearm to go with the cartridge you may have in mind. I am no fan of Linn LP12, but I am not going to tell you to scrap it, if you like it. (EMT 927s are not readily available items, and only a few shops in the world seem to know how to restore/rebuild them properly; by all accounts, they are as finicky to get right as is a Linn LP12.)
In other words, I guess I find myself agreeing with Clearthink and Nandric.