If you're home, you don't need wifi scanning - you're connected to your router and will stay that way. If you're anywhere else that you think there's wifi, turn it on, find a public wifi signal, connect to it and turn scanning off.
Pretty much the same with Bluetooth. To connect to a device you're paired to, you shouldn't need scanning. And I can't see you connecting to someone else's headset, or to a car that's passing you.
There are situations in which scanning is useful, but most of the time there's no need for wifi or Bluetooth scanning. (And even if it saves only 1% of the battery, over the lifetime of the battery [I have some that are almost 15 years old and they're still working] that's quite a bit of saving. [Not money, so much - even having to pay $60 to have the factory replace a non-removable battery every 5 years isn't that much, but if the battery dies just as you need it desperately, it's "much".])