It is not common at all; you need a very decent budget to do that. Of course you only apply this to the final edit.
If you live in the US, you may have watched this years SuperBowl. The CocaCola commercial 'America is Beautiful' (60 and 90" versions ) was shot on Alexa, digital DPX files were transfered to 35mm 500T 5219 stock (using only Super16 area) and then rescanned back to 10bit LOG DPX files that were sent back to the US by FTP.
There is a version on Youtube but without the added film grain because Youtube compression doesn't handle this grain very well.
The intention was to create a 'home-movie look'. Our client was very pleased.