I've just used the link to the Evening Standard report, which included this:

If their case succeeds it is feared it would set a precedent affecting up to 100 other home-run firms, such as music teachers, child-minders and consultants.

I don't think such people need to worry at all. You would need to be causing a lot of disturbance:
1.) for neighbours to spend the considerable sum of money needed to bring court action and
2.) for the court to uphold the neighbours' complaints.

I'm not taking sides in this - just pointing out the truth of the matter.