Successful breeders, by which I'm referring to people who show their birds & win regularly in stiff competition, will all advise you to line breed. That's how all of those breeders produce their winning birds.
Many people on this site with little or no breeding experience & certainly no history of producing winning birds will advise you to avoid line breeding & to regularly bring in "new blood".
In reality adding "new blood' or out crossing as it is sometimes known is the best possible way to screw up a line of poultry.
To me, this depends on your goals. If you are breeding for show or for specific certain traits, I totally agree. I think this is what the OP should be looking at, a very controlled breeding program. That's also how all breeds have been developed.
If you are running a small backyard flock where you have a few hens and one rooster, the way small farms with eggs and meat as a goal have been doing this for thousands of years is occasionally bring in a new rooster to keep up the genetic diversity.