If you don't want to miss anything, then it is often recommended to record continuously. Doing that, you can then set up the motion-zone-tripwire, etc., to be less sensitive because you know that you always have the footage regardless.
For some of my cameras, the relatively heavy vehicle traffic in front if my house results in thousands of triggers every day, anyhow, if set sensitively enough to capture what I'm after. So those locations might as well record continuously. I can then set the triggering to be far more selective and only use that for finding events, etc.
Other cameras look at much less active areas, and can be set to trigger only on detections. They still get fooled by car headlights sweeping across the area, or shadows from wind-blown trees, etc., but it is acceptable.
I do not use motion alerts from most of these cameras to notify or otherwise "alarm" me. I do think true motion detectors are better for that sort of thing unless you can put up with a LOT of false alarms or the camera is in a very "quiet" location.
I might enjoy seeing footage of squirrels, cats, etc., prowling my yard, but I don't need to get an alert when it happens.