Rotating a sensor would be futile. It would trigger continuously.
Yep, If we knew its radiation pattern one could put few such sensors rotated by given angle to cover 360 deg.
Another story is, trigering of this sensor is caused by any moving object or maybe when focused somehow we can make detection at larger distance?
I mean, for example mirror at some distance and sensor put in the focus of parabolic mirror to try make its detection more directional?
As I heard it works at 3.1GHz microwave range, so its wave length is ~10mm

I believe in that maybe by using mirrors we could somehow guide this microwave signal and by mirror make something like invisible line where when crossed by someone it will disturb reflected microwaves?
It is quite cheap and much more compact design than many PIR sensors and probably transaparent to glass?
BTW, rotation could work this way that we turn at some step or to predefined angles and stop rotation for lets say a few seconds, than scan other location.