Lewisham legends legitimate?

Subterranean shopping centres in Lewisham and Ladywell Village skyscrapers? Judy's heard some rumours and wants to know if anyone else can corroborate. I can't - can you? Please, help a sister out in the comments below:

"I’ve heard from two reasonably sensible people about two bits of info which seem to have no evidence anywhere else to back them up.

"The first is that that Lewisham shopping centre is due to be demolished and an underground shopping centre built under the road/former roundabout with a – gasp! – Waitrose. Just the market retained but a spirited local campaign already going to ‘save’ the (?) empty Citibank tower.

"Secondly that in Ladywell a block of flats is due to be built in the space occupied by the carwash with a mini supermarket underneath, presumably of a Tesco/Sainsbury kind. Have you heard anything? Lewisham gov website hints at possibilities for further developments but nothing concrete."