Not sure. In the close carrier, the bub gets pretty warm because they are against your chest, so you have their heat and your heat. Also if you have Phoenix in the facing you position (rather than the cradle position), the material goes between their legs so swaddling wouldn't work. The close carrier kinda swaddles them anyway, keeps them nice and tight.

Why do you want to do both? Is it so you can then put bub to bed straight from the carrier?