I would hope the extractor vents to outside too, you dont really want to be blowing warm, moist air into the loftspace either.... It's not unknown to use a tile vent to terminate a soil pipe so might be worth checking what purpose the neighbours tile vent is serving.
AAV's (Air Admittance Valves), are as the name suggests, one way valves to allow air into the system, but keep foul odours etc out. Problem with using these on all stacks, and not providing an open vented end, is any positive pressure in the system has nowhere to escape. It can then, in extreme circumstances, bubble back up via traps in the sanitary appliances, and cause unpleasant and unwanted odours, as you are currently experiencing....
AAV's (Air Admittance Valves), are as the name suggests, one way valves to allow air into the system, but keep foul odours etc out. Problem with using these on all stacks, and not providing an open vented end, is any positive pressure in the system has nowhere to escape. It can then, in extreme circumstances, bubble back up via traps in the sanitary appliances, and cause unpleasant and unwanted odours, as you are currently experiencing....