In theory it sounds good! In practice it makes me chuckle a bit. Anyone recommending hatching chicks in the dead of the winter, can't be having that hard of winter.
I live in the snow belt, not far from Canada. For winter eggs you would have to do lighting, and some heat. My birds don't lay in the winter, my neighbors birds don't lay in the winter. Some people's birds freeze to death in the winter. And no one hatches in the winter. Even if you did get eggs, you are going to have to heat and keep those birds inside for months. I don't hatch until generally May, as eggs are frozen in April.
If you are dedicated to what you are breeding, selective breeding is important and does work. I would without hesitation tag a hen laying in the dead of the winter (provided she lays well the rest of the year), give her priority hatching come spring, and be sure to toe punch her chicks. If you aren't dedicated, chances are is a breed that will lay better for you in the winter.
As Ridgerunner mentioned, I'm not so sure of the importance of the rooster's fertility either? It is different entirely, and would be hard to judge if the rooster is fertile, or if you didn't get the eggs in time for the embryo to survive the weather.
I used to live near Pittsburgh, which had some nasty winters, but nothing like I deal with now. I raised Chanteclers and Heritage Rhode Island Reds, and considered both of them to be very winter hardy. They took off in the dead of the winter, dead of the summer, and to molt. The Chanteclers did lay a bit further into the winter, but they were more broody come spring and summer. So, even though they layed longer into the winter then my Reds, the Reds actually produced more because they generally don't brood twice a year. (Which Ridgerunner mentioned as well.. are you truly getting the best layer by chasing winter egg production, or is there a sacrifice somewhere along the line?)
When I moved to where I am now, I sadly no longer had my Chanteclers, which would have been more practical. The Reds were okay, but went to producing only 6 months out of the year, which I was getting about 8 - 9 in Pittsburgh. So, now I am like most of my neighbors I have hybrids for laying, because that extra month or two of speedy maturity is the difference between getting eggs in the autumn/winter, and having to wait till spring. I would like to try the Chanteclers again, and see how they do.