There's no reason at all that you can't take these on the plane. If there's some specific thing you're worried about, it might be one of the following.
Restrictions on the use of wireless devices on planes. You might be asked not to use wireless devices during take-off and landing; it's fine to use something like Bluetooth during the rest of the flight, since it's a very low-power signal. Many flights now have wifi in the cabin, for example. Note that you're not allowed to use your cellphone's cellular service on flights, but it's never been forbidden to bring the phone itself into the cabin.
Restrictions on lithium batteries. The batteries in your headphones aren't nearly high-enough capacity to cause issues, here. They only start to kick in with unusually large laptop batteries, powerbanks and the batteries that come in devices such as mobility scooters and hoverboards.
Indeed, you have nothing to worry about even if you do want to use the headset during the flight. This article from USA Today is primarily aimed at the American market but gives non-US examples of airlines allowing bluetooth during cruise.
I have no intention of using them during the flight itself as I prefer listening to all the plane noises.
I'm guessing you don't fly much and possibly haven't flown before? 🙂
Honestly, the "plane noises" are mostly just loud-ish white noise from the constant drone of the engines and the constant whoosh of air past the plane. Especially during cruise, there really is nothing worth hearing. For hour after hour. Sure, during take-off and landing, there's a little bit to hear (the change in power from the engines, the gear being raised and lowered and so on) but in cruise, there's nothing. I find that, after a transatlantic flight I arrive feeling much fresher if I've used noise-cancelling headphones to dramatically reduce the volume of noise in the cabin.