When you turn on Airplane mode the OS will stop all functions that emit or receive signals. But after that you can manually turn on Wi-Fi, GPS, Bluetooth... But apparently not GSM or Data.
so just an FYI about aircraft systems. for probably over a decade now standard 802.11 wifi standards have been certified for use on wing. More specifically - there are some add on systems for commercial aircraft use that communicate to each other and to the plane via normal 802.11 protocols. Started with G, IIRC. Now the security standards that go with are a bit different. Example - there is a smoke detector/fume detector system that works solely over wifi G.
wifi frequencies and power bands are not close enough nor strong enough to interfere with other essential aircraft systems and have absolutely no effect on navigation performances.
GPRS/EDGE frequencies and power band can indeed cause some ripples on things like VOR and Nav Beacons - more importantly they can screw up ADF. That's automatic direction finders - most modern planes over flying civilized areas don't use adf today. ADF relies on AM radio communications and other frequencies and it triangulates off of knows towers. CDMA and EVO systems also bothered it but not quite as much IIRC. These are sometimes in use for approach which is where the turn off phones for take off and landing actually came from. I have used a phone in the cockpit and watched the director screen waver till I turned it off. that was with me taking a call in the cockpit at under 10,000 ft.
Since some LTE bands are in the same frequency stack I suspect the same effects exist. this is why airplane mode's prime purpose is to turn off your cell system - but leave GPS and WIFI alone. OH and BT isn't strong enough and is in the same frequency stack as WIFI.
GPS - none of these other systems affect GPS signal or useage. you can be on the phone in the cockpit laying the phone on top of the glareshield and the GPS Direction lines won't change.
and before any other rot starts - on a modern commercial aircraft all the electronics boxes (avionics) are shielded and tested as such that no commercially sold mobile will affect them directly. IE lay your mobile directly on the traffic collision avoidance system (TCAS) box tape it down and fly the plane and you'll never notice the difference.
but use the ADF or VOR and it might waver. Reasoning - you're broadcasting strong enough/close enough to the antenna out side the plane to affect the incoming signals. Not the computer boxes on wing.