Your pollen chuck has just as good of chances as any other growers pollen chucks. NONE of the growers out there are running hundreds of males to make a selection. I would bet there aren't many that selected from more then 10-15 for most projects. This is actually a conversation I've had a few times with a few people. The next issue is that I don't believe many "breeders" are actually thoroughly testing the lines they "breed". Knowing exactly what impact different males would have on the outcome is impossible without using all the males and then testing and selecting after you see the offspring. From what I've seen very little "selection" goes into males because the genetics which will get passed onto the female are kind of unknowns. Many different breeders will tell you that different things are the most important to look for in a Winner male. But the reality is that there is still a lot of guess work and unknowns to each cross they do. Most of the selection work gets put into female plants normally because the are the plants we typically grow for.
This brings me to an idea I had. Maybe I'm giving away a million dollar idea, and if one of you uses it maybe cut me in for 10%
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I've been considering attempting to specifically breed males similar to how you breed fems. Using the correct catalyst you can reverse a male plant to create female flowers, from my understanding a couple of breeders already do this occasionally. My thought is that doing this would allow you to see some of the female genetic expression that the male might be carrying when used in a cross. It could then be crossed to a clone of itself, or another male plant that has qualities you want. I believe from the very small amount of research I've done on this idea that it would produce seeds that would be mostly males, similar to how fem seeds are. In the end I have theorized that perhaps after several generations you might be able to create a fairly stable male plant with predictable characteristics. This could then be used for stronger more controlled breeding between males and females to create even better regular plants by removing the mystery of the males genetics.