NO,What can happen is if there are genes of undesirable traits they can be multiplied. So if of carries a gen for say bent spine then they both carry that gene. On the other end of the spectrum top breeders may take siblings of parent to sibling to breed back to help a line breed more true. this is often the case it top quality Kohaku as they are trying to perfect a color to a big body growth to get those few top quality koi they will be using in the future.
What you have read has some truth but not 100% true. Does that make sense?
thanks for the clarification.
by the way does it goes same for goldfish too?
The same goes for goldfish too blackmailer, part of the problem we are seeing with koi nowadays is they come from a small gene pool so the more expensive the koi the more problems you'll see with its immune system, too the point where they can fail completely (this is recognisedby the breeders).
The Japanese now have set about adding a new bloodlines program from the original Magoi or eating koi however at the moment the colour of these new koi isnt anything to write home about so they arent being sold.
But like everything these things take time to work out and get right .
So its a case of watch this space at this moment in time but watch this space for future develpments with these koi
Dave