Bathroom extractor fan

[DIY GUY]

Hi I currently have an old timed extractor fan, l’m looking to replace it with a new timed one. I’ve attached some pics. The cable is ran from my existing light switch to fan isolator then from there to the fan. Below is a pic of isolator and light switch. From light switch brown is to live, grey is to neutral and black is to switched live? Going with the diagram below am I correct saying my brown would goto L, grey would goto N, and switched live if I’m correct would go into T?

Any help would be great thanks

 

[kerching]

Yes

 

[DIY GUY]

Yes

Thanks for the quick response

 

[SPECIAL LOCATION]

Just to add.. If it were me I would also mark Grey and Black conductors with some Blue and Brown sleeve or tape on them to mark them as neutral and switched live.