For instance, I would consider it a much bigger privacy violation for my phone to transmit my exact location every hour than my current CPU usage every 10 seconds.
https://support.apple.com/en-us/HT203033
They do send nearly WiFi hotspots for crowd sourcing purposes but it is never in conjunction with your local IP address (which is an identifying piece of information).
You're right aGPS does speed up your initial time to fix so the GPS receiver doesn't have to be on as long to get an ephemeral location but other than that it doesn't have any impact on battery life such as when you're looking at Google maps with a constant fix.