Uninsulated Air Mattress…?

If I put an uninsulated air mattress on top of a CCF pad will the resulting insulating value increase, decrease, or remain the same…?

To be specific, I'm wondering if I pair my new KookaBay mummy cut uninsulated air mattress (60" x 2.5") with a full length 3/8" CCF pad if it will be warm enough for winter conditions in the White Mountains of NH.

For reference, for years I used a single full length ThermaRest for these conditions without any trouble. I think it was 2" thick or maybe 1.5" Whatever the original old style mattress was before they started offering all kinds of options.

I could go with a thicker CCF pad as well, I'm just not sure what's feasible and if the uninsulated air mattress actually increases or decreases whatever insulating value the CCF provides.