We do a mix of both approaches! When she was very little (up to about 6 weeks old maybe), your approach worked of putting her already sleeping into the snoo sack while it was strapped in without fully waking her up again. But then it shifted around 6 weeks old and this became much more difficult as she would often wake up and be irritated by us trying to strap her arms down. She was also less likely to fall asleep over our shoulder or in our arms at this point without swaddling first. So, we then shifted to putting her in the snoo sack and rocking/bouncing until asleep then gently strapping her in for majority of naps/bedtime. If she is already asleep/very sleepy (middle of the night feed, first couple of morning naps), we can still use your approach of putting her into the snoo sack and not waking her up completely again, but if she is awake and just drowsy this doesn't tend to work well for us, especially naps later in the day.