There are lots of issues discussed here. Firstly, if I was PIC and let it be known I was nervous about an approach due to various factors, then I AS CAPTAIN WOULD FLY IT.
@RAT 5
I think different captains will have different opinions about this, depending on
why they're nervous about the approach.
Sometimes when you're PF on a "tricky" approach (or even a non-precision approach), you are too busy with the
mechanics of flying to think about "the big picture".
So many captains would actually prefer the co-pilot to fly the approach, so they can concentrate on the safety aspects of the flight.
Other pilots would undoubtedly have a different philosophy. But sometimes being a good "commander" means knowing when to delegate aspects of the flight to others.