I have been rolling up my original NeoAir and using a rubber band to keep it in place inside my frameless packs, however, I have recently decided to just fold it and place it against the back of my ZPacks Zero pack to help provide a flat surface as well as a small amount of structure. It works just fine. It does not make the pack rigid of course, that is really dependent on how well I pack the pack and then use the top compression as needed. But it works just fine…
I do also carry a second ccf pad, but it is either a 1/8" ThinLight pad folded in quarters or a SitLight pad. Each pad weighs 1.7 oz each and take up no extra room considering they are also part of my pack support, but on the outside of the pack. I have 2 bungees that create a pad holder on the back of my pack so that they can be against my back. Plus of course I can easily remove these pads to use the pad during the day as a sit pad, and then at night as extra protection under my Neo…so it is not really extra weight…

You can see the yellow at the edges of the pack…this is my NeoAir folded inside the pack.

Edited to add picture.