I've found a lot depends on the mother and the keepers relationship with her. It also depends on how many cockerels and what age.
There is a tendency for people to say each cockerel is different and the keeping circumstances are different etc.
In every species there are common traits; almost a well defined list of behaviours in a particular set of circumstances but underpinning those is thousands of years of their ancestors behviour in conditions that didn't change very much, similar forage, nesting habits and family relationships.
Most of the behaviour studies I've read on jungle fowl found one rooster and one or maybe two hens to be the most common arrangement. There are studies that found larger groups but none of the larger group studies weren't able to recognise how the sub groups worked.
The point is, assuming a mating pair had or have progeny then either the progeny have died, or they moved away if they can't be found with their parents. I've never read a study where the life of a cockerel is tracked daily from hatch to adulthood; hardly surprising given how many hours observation is involved.
On my uncles farm (three to four tribes comprising a rooster and two to five hens) all the cockerels got eaten while I was there apart from two sons of senior roosters who replaced their fathers in the tribe after their father were killed by predators. All the sons that I can recal from there fought their fathers at some point and that's when they got eaten.
What seems likely for the majority one doesn't interfere with is, son gets killed by a predator, son survives to challenge his father, son beats father, son leaves.
I've found something like this to be the case with all groups. Some times it can take a few years for things to wash out as expected.
The bantams were the only group I've cared for where three generations of males ( father, just one son and one grandson ) led a reasonable coexistance for about six years. When the senior rooster died his son took over, coached by the mother, and things went on hardly missing a beat.

I very rarely touch the father, son or grandson and had nothing to do with the hatching really, just food and water providor. None of the males were human friendly, not aggressive, just not interested. The hens were much the same. Out of all the tribes the bantams were the only tribe that didn't consider my house part of their territory.
There was all sorts of stuff in the bantams genetic background.
The cockerels I spent a lot of time with for various (mum died, tribe threw them out or they didn't get introduced) were as one might expect much more friendly than those I had little to do with.