People don't always say what they mean and mean what they say. Surely best to check?
BBC radio 2 says that you can catchup on BBC Sounds via certain devices (can't recall what).
My elderly Mum wanted to get an Alexa to listen to BBC Sounds. Guess what, she didn't have and didn't want an internet connection.
If the BBC stated via Internet Connected Devices, then I'm sure she would have understood.
Was Eclipse Home Option 1, VM 2Mb & O2 Standard
Utility Warehouse (up to 16mbps) via Talk Talk, upgraded to fibre 40/10