NOT true.
If you need 180F for a period of time (a couple minutes) to sanitize the wort coil, you need to circulate it prior to chilling.
If you don't circulate and go straight to chilling, the wort is near tap water temp at the end of the wort coil and thus it never sanitizes.
A hot (near boiling) fluid must be run through the wort coil with nothing running in the cooling coil to sanitize a CFC. Thus when I look at these all in one systems, I'm looking for a pump, maybe 2 and a CFC. When someone tells me that you can add the CFC externally, I say sure you can and also that you are one big step closer to a conventional single tier brew stand. Someone needs to build the CFC right into the brewstand.
FYI, I'm building a steam powered brewstand. I have 2 options for boiling wort. Put the steam through a coil in the boil kettle or run the wort though a steam heated CFC below the boil kettle. The same CFC could be used to used to heat mash liquid as well as chilling wort, making for a pretty neat all in one. HOWEVER, boilers are big and bulky, so unless your kitchen has a steam line in it, this would not be a feasible all in one. There are some other issues too.