Drones aren’t irrelevant in bee society they just aren’t really the kind of people you want to be seen with.
Drones develop from unfertilized eggs and are haploid. Queens and workers develop from fertilized eggs and are diploid.
Virtually all organisms are diploid, an original genetic mix based on sexual reproduction with a mix of genes from mom (xx) and dad (xy). The only males in a beehive are the drones and they do not participate in gathering nectar and other bee jobs, they are there purely to inseminate the queen (queen being a strange word for ovary, apparently) and drones are the offspring of unfertilized eggs.
So drones are haploid, containing no recombination of the previous generation, it is basically a flying gamete and all its sperm are identical. All those identical sperm have only source of genetic information, the unfertilized egg it hatched from. A drone is basically a clever workaround for an egg to make sperm that makes more eggs. But to bees it’s critical that there is as little genetic drift as possible. As a result, the sister bees who do all the work are more closely related than ordinary sisters, instead of sharing 50 % of genes they share 75 %. More reinforcement for the idea that a hive is a quasi individual. And get this (pulling from wikipedia below) …
Because the male bee technically has only a mother, and no father, it’s genealogical tree is rather interesting. In the first generation there is one member (the male). One generation back there is also one member (the mother). Two generations back there are two members (the mother and father of the mother). Three generations back there are three members. Four back there are five members. That is, the numbers in each generation going back are 1, 1, 2, 3, 5, 8, … —the Fibonacci Sequence.