ZHA drops all devices

Potentially, yes. Assuming you have 3 (or more) Google nest wifi routers in your house, that’s enough to interfere with the entire 2.4Ghz spectrum (channels 1-6-11) and not leave much leeway for your zigbee network to operate comfortably.

Without the possibility to modify the Nest’s channels on 2.4Ghz, your only options are to either try to move your entire zigbee network to channel 25 (still not guaranteed since it partially overlaps with wifi channel 11), or to replace your Nest routers with something that offers some kind of basic user control.