We did this all the time with Charlie, our first baby! For Olive, we only did it for the first few months since she was a bit of a preemie.
I've noticed though that we're less obsessively worried about whether or not Olive is still breathing and alive. I guess we learned the hard way that worrying all the time didn't necessarily help anyone out. I am just grateful that our first baby wasn't a preemie, or we may have passed out from the stress!
Do you obsessively watch your LO to see if they are still breathing?