If you're mounting under the eves, these Aqara P1 work just fine and there's a community driver for it. I have one in my garage, and while it doesn't get much below 5Ëš C in there, it's batteries have lasted since purchasing in April last year.
If you just need motion, then it's fast and the reset time can be set as low as 5 seconds. The downsides are that like all other Aqara motion sensors, it needs a motion event before it reports LUX if that's important to you, and it uses two CR2430 batteries. If you don't already have other devices that use those batteries, then you'll pay more when it's time to replace them, vs the two AA batteries needed for the Hue outdoor motion sensor. According to Aqara, you will get 5 years battery life if the motion sensor is set to a 30 second reset time. That's at room temperature I'm sure, so you would get less if it's subjected to really cold temperatures.
These probably wouldn't hold up with direct exposure to the elements like the Hue outdoor motion sensor can, but I had one of the original Aqara motion sensors mounted under our eves when I lived in Toronto and it held up just fine (I'm still using the same motion sensor today). I have another one of the original Aqara motion sensors mounted in the corner of our shower stall and while it doesn't get splashed at all, it's regulararly exposed to very high steam levels and it's still chugging away.
If you're decent at soldering, you can convert an Aqara to USB power fairly easilly. You'll just need to order a 5v to 3v buck converter. These will work fine, but you can get multiple for less from Ebay or Aliexpress.
