What would be the grounds for not allowing a roof terrace?

What would be the grounds for not allowing a roof terrace?

Lisa Andrews (Horticulturalist) gives expert video advice on: Do I need planning permission for a roof terrace?; Can I use permitted building rights to build a roof terrace?; What would be the grounds for not allowing a roof terrace?

The grounds for not allowing a roof terrace could be overlooking, privacy issues, right to light, and noise pollution.