You rang, Sir?However, for those who take the view that fuses/MCBs are there only to protect cables (not accessories or loads)
Whilst the fuse/MBC is their to protect the cable I think it has been agreed in previous threads that the reason for 6A protection is because of the accessories.
Although, in this instant with apparently each room's lighting on a separate spur and therefore the likelihood of overload non-existant perhaps the 13A fuse could be omitted and it could be asked - is it a ligting circuit?
However, I am sure you will agree that 13A or 6A isn't much protection for the load which may be a 40W lamp.