Pretty much nailed it.
Haven't had in cold weather and honestly didn't see that limit. I 'thought' I read below zero at some point. Initially I installed the camera inside in a window frame looking outwards. IIRC the motion didn't work and the clarity is what you'd expect of a camera looking outside through a window.
When you get a notification, you'll need to open the app and view it in the library. There is a delay from when it records until it's available for viewing in the library. You can always open the app and go to 'live' view and view your camera live. There is very little delay. About the same I've noticed in wired cameras. I would guess between a ¼ to ½ second.
Batteries are kinda a pain but it comes with the territory.
One of my daughters suiters came by and did a ding dong ditch. My daughter texted him about it and he denied doing it. I sent her the link to the video to send him. Then pulled it after about an hour which then sends you to a dead link.
I'd do it over again. So far, I'm happy for what I get for the money I paid. And it's easily expandable. Just need more power efficient cameras. It'll happen eventually.