Apparently the gases mix when you open the fermenter regardless of their mass/weight. But initially yes you do have a protective amount of co2 t
Yup gases diffuse into each other, regardless of mass... Even without moving air currents to enhance the mixing:
https://youtu.be/_oLPBnhOCjM
Add in disturbances (removing bucket lid, inserting thief, replacing lid, etc) and you mix the gases much faster than diffusion alone... There isn't really a "protective blanket" that survives. The CO2 pretty much starts mixing with air as soon as you open the lid.
During active fermentation, you're generating new CO2... continually shifting the mixture to to be richer in CO2 and pushing out the existing headspace gases... So after a while, you should have a CO2 rich head space.
Once fermentation slows or stops completely, however, no more CO2 is being made, and you are depending on your airlock and the seal of your lid to limit (but not completely stop) air from diffusing back into the fermenter.
The time it takes to uniformly mix a cylinder of CO2 and air by diffusion is proportional to the square of the length of the cylinder... I've read that 1 cm cylinder takes about 2 seconds, a half meter cylinder about 2 hours...
If that rate is correct (I haven't verified this) 3 inches of head space would be *uniformily* mixed with air in less than 2 minutes simply by diffusion. Include the mixing by air currents due to handling and it's even faster.
Even if you don't give it the full 2 minutes to come to equilibrium, you would still get quite a bit of air/CO2 mixing by diffusion.
So I wouldn't trust the "CO2 blanket" idea.