Omni; The average lifespan of queens in my production colonies is 14 to 16 months, it would be an exceptional queen to last 4 years. The colonies will requeen themselves if they swarm, or do a supersedure replacement of their queen. Swarm or Supersedure queens are usually good quality queens because they start from eggs and are destined to become queens from the beginning. Emergency queens start from a larva intended to become a worker but changed to a queen because of sudden need. Emergency queens will be a good queen 2 out of 3 times, but the beekeeper needs to keep a watch on her egg laying.
The colony will often lose the virgin on her mating flight, then the beekeeper must replace the lost queen or beekeepers will replace an existing queen if they are not happy with a colony's performance. I usually replace queens because of a colony's temper, poor disease or parasite control, or excessive food use during the summer months. I buy queens from queen producers if I want a change in geographical races of bees, such as changing from Italian to Carniolan, a change in a strain of a geographical race, an Italian from one producer to an Italian from another producer with a different strain of queen mothers, otherwise I select queen mothers from my own bees to raise virgins from.
I replace queens when they need replacing, not by their birth date. I only have a few colonies so I can do this with ease, it's not like I am trying to manage large numbers of colonies. I try to keep nucs during the summer with new queens to be used as replacements.
Replacing a queen with a new queen received through the mail is different than replacing a failing queen with a laying queen from a nuc. Search for videos showing requeening methods, and bees showing aggression toward a caged queen. A warning, if you wait 24 hours as usually recommended before adding a new queen to a colony just made queenless, that has eggs and young larvae, you will have queen cells started and they will not accept your new queen. You will need to search for queen cells and remove them. If you add your new caged queen at the time you remove the original queen, the bees will often not start making queen cells, and will accept your new queen much sooner.
Using hybrid queens, hybrids will often not breed true, meaning their offsprings will often not show the same traits as the mother. The way the different lines of bees are crossed affects the way the bees act, such as an Italian queen crossed with Carniolan drones will usually produce gentle bees, but a Carniolan queen crossed with Italian drones will often produce not so gentle workers. I am not well versed in breeding bees, so I take Brother Adam's word for it. If you can access some of his books it will be worth your time.
Using open mated queens are a gamble, we never can predict with certainty how the workers produced will act. Usually things work well, but sometimes they don't.