Wouldn’t touch Meile with a shitty stick, everything I’ve read seems to suggest they are nothing like as good as they were.
Basic Bosch would be my choice if you want premium, Beko for economy. If you intend on fixing any niggles it would be good to check how cheap and available spares generally are, our present Servis POS is on borrowed time as a new motor is £160 and the rotor bars are failing.
You sure the John Lewis machine was Beko? My tumble dryer is an AEG clone and I know their fridges are Electrolux so I assume the building contract is with them.
EDIT: Wiki says Electrolux is definitely an OEM for John Lewis