> Country of residence is not luck based, it's either pre-determined or chosen by parents.
So you have very little to do with it; you can probably choose this after you finish school, but this is dependent on the place you would like to emigrate to letting you in, thus it's mostly not up to you.
> Parental income having an effect on children's is also not an example of luck. If I work hard so that my children do well, that is not luck based.
If I get the resources to do well because my parents worked hard, that is really not something I choose, so it's "luck".
> Genes influence success, so choose good genes.
One can hardly choose their own genes, can they?
> But still, there exist plenty of people who have been born into adversity and study and work hard, network and press the right buttons.
This is true. They would have had an easier time and achieved more if they did not have to dig out of the basement first before building up.
Nobody is saying that you cannot be smart and diligent enough to change your lot in life, we are just saying it is hard, getting harder every day, and it should not be.