I just sling a foam sleeping pad 1/2 on a rock or fallen log and half on the ground. Sit on the part on the ground and lean back onto the part on the log/rock. Stretch legs out and relax. Super comfy, easy to do and great in camp and for short breaks. No extra weight because your using an item you already have. Not sure if it would be advised with and inflatable pad though. Might be too much of a risk for a puncture but I use foam.
If one was going to carry a chair that was around or over a pound then why not just bring an UL hammock (grand trunk ultralight, $15 on amazon, 12.4 oz out of box, mine weighs in at 11.1 oz with modified suspension). Ditch the heavy ropes and carabiners or S-hooks. Replace with whoopies and tree straps, learn marlin spike hitch, and you have a chair you can lay in for less than a chair that weighs in at around a pound. Setup is around 2 mins. Even if you sleep on the ground in a tent or tarp and you just bring it to sit/relax in, if your going to bring a heavy chair and you have trees then hammock seems the way to go.