The Doppler radar that "live" precipitation comes from takes 4-6 min to complete a scan, and then obviously it takes a few minutes for that all to be ingested, update models, and push to devices.
The "live" weather from Apple (and when it was Dark Sky) has always been a prediction from about 10 min ago. And if it's raining where you are but dry six blocks to the north (as happens all the time), it's understandable why it gets it wrong.
Also I really like a tool called Forecast Advisor. https://www.forecastadvisor.com/ . It shows you the accuracy of various forecasting services for your area.
I use it whenever I travel. I don't stick with one forecast site because depending on the terrain/location their accuracy changes drastically.
Certain models are better for certain geographical features depending on the location. I tend to hangout around a lot of mountains and the difference in forecast models makes a huge difference.