I think I read somewhere that the nexus 5 was going to be the last Google produced phone but they did own Motorola at that point.
There are different versions of the moto g, the latest has 4g and a SD card slot. Very good phone for the price.
I personally went for a moto E as my run/ride phone. I’ve been very impressed with it but the camera may not be good enough for your original request. It runs everything I’ve tried on it just as well as my note 2.