Les your convenience is another persons nuisance
I would say they only people who can judge whether it is a nuisance are the near neighbours; within 2 or 3 houses. For these people in relative terms the increase in nuisances experienced (screaming children, parking, traffic, etc) must range from % 1000’s to % infinity. Is this not this the relevant measure for them?

Isn’t a residential property with no residents and a business actually a commercial property? This is a different scenario to someone running a small business from where they still live.

I don’t know when and who at Lewisham council decided that Nurseries were appropriate uses of residential properties, the UDP allows for this change of use and for all kinds of “local community services” so who knows what the local politicians, who approve the applications, and don’t live on the estate, will allow. To me it seems fair that as a local resident you have the power of a RC to prevent this.