There is confusion with the words Wireless & Bluetooth as they are not the same product.
Not sure there is confusion, but bluetooth is so dominating the market its just hard to find anything else. I went into a store that had about 50 different types of headphones, maybe 2/3 of them were wireless, and every one of those was bluetooth. I finally decided that the wire was no big deal when I am sitting at a keyboard, ad stopped searching for suitable wireless..
Another thing to watch out for is battery leaking on wireless or noise cancelling phones. My wife bought me an expensive pair of Bose noise cancelling phones, and I left them at our place in the UK. When I went back some months later the batteries had leaked and ruined the phones.
You are lucky to have found a good pair of wireless phones for only 20pounds, and re chargeable into the bargain. In LIDL of all places. For people here in the USA that have never heard of LIDL, its really a budget grocery chain. Sometimes they have most surprising things, -- then never have them again
Mike