I use a CFC and I've done a good bit of thinking about this.
In order to get the cold break to stay in the kettle I'd need to recirculate until the whole volume was down to 70ish, then give it a whirlpool and a rest. Well that actually takes a long time. When hot wort goes through the chiller it gets rid of a lot of heat, but when 90 degree wort goes in and comes out at 70, that's not getting rid of that much heat. The fastest way to get the entire volume down to pitching temps is to just run it through the CFC straight into the fermenter, but all the wort that hasn't been through the chiller yet just sits there making DMS. I recirculate until the entire volume is below 140, and once it is I just put the output into the fermenter. This ends up with cold break in the fermenter but I like the speed so I live with it.