In a Contender you'd be over pressure for sure. The Swede is pretty much equivalent to a .260 Remington, and you sure don't see those in a Contender. If you really want a 6.5mm on a Contender, look into something like the 6.5TCU (.223 necked up) or the 6.5JDJ.
If you've got an Encore, there's no reason not to go for the Swede. I've got a bolt gun in 6.5X55 and would love a 20-22" barrel for my Encore to go with it.