You'll prefer the feel of an airbed. Problem is, every airbed I've had, even with a very thick groundsheet and the built in tent groundsheet has had a puncture and there is no worse thing than being freezing cold and uncomfortabel because there's no air in your bed so not getting any sleep.
Technically yes, self inflating roll mats can have punctures too. Dans did after having it and using it for 4-5 years, but used the puncture repair kit and workd fine now. They are just usually made of stronger stuff.
I let mine inflate, blow a few extra breaths in to really pump it up and start like that. After about 1/2 an hour I usually let a little air out, but that's always well before I decide to go to sleep