That circuit has been published for a few years now if you work with LT apps engineering - that's what LT offers as a solution on how to use a '6655 with their "32 bit" ADC's. Which if you look at the specs the 32-bitters are not really 32 bit for absolute measures and LT will be the first to admit these are not true 32-bit ADC's at DC. LT/AD doesn't have a single chip, low noise Vref solution for the high resolution ADC's.
Your ADC noise is only as good as its Vref noise especially as the input signal level approaches Vref level.
Bear in mind that if you using any of these faster, high res ADC's your Vref has to be buffered anyway and must be able to deliver juice fast to the ADC Vref input pin. You can try hanging a capacitor on the Vref pin with somewhat less than stellar results - you'll get what you pay for. A quiet amp that can really drive that pin at ADC Vref pin at switch freq works better.
These ADC's have another "gotcha": Their INL is not very predictable like '2400 series either, which makes it nearly impossible to compensate in software. You do get a faster read rate if you're application needs that but you might be better off looking at some 18 or 20 bit units for lower THD on AC signals.
As far as the filter circuit - it helps a bit if you're having to use a noisy, drifty '6655 in a ratiometric application but as Conrad pointed out: You're never getting rid of 1/f noise, and you're not averaging out 1/f noise either, no matter what math you throw at it. For metrology apps better stick to LTZ for the Vref for less noise in the first place. Once you start filtering the Vref you keep wishing that it worked for lower and lower freq's.
Then you add more brute force filtering and realize that it takes a long time to settle, and around and around it goes. Good luck with that.
NOTE: In actual practice TH polystyrene caps work much, much better in the filter. PP films are a good choice too with low DA. The downside to those is the relative large real estate required so there's always a trade off.
For us this filter technique and 32-bit ADC's has always been a bit "meh" if you're after quiet, accurate, low drift absolute measures. Depends on the application.