They're counted under pitbulls in the US and pitbulls are a really obvious outlier in dog deaths.
No, the American Bully has been counted as a statistically separate breed type since at least 2004.
You tried some line about them being in the UK for ages, but that's false they were classed as pitbulls here too until a few years back, it's only recently they've been widespread and could evade the Dangerous Dogs Act and look at what has happened as a result to dog deaths.
No, I said they've been around for several decades. I have no idea when they first came to the UK, or when the numbers surged to current levels. Sources estimate 2014 for initial influx and then Covid-era for the popularity increase.
They were only believed to be of Pitbull type because the APBT is the foundation breed. They're a mix of various different Bulldogs, Staff Terriers, Husky and also Boxer, which is why they were reclassified.
Still not sure what your point is here, there was a study presented that shows breeds can inform behavioural traits, there's a smaller within-breed variance of various traits. You're now quibbling because it only involves pedigree breeds? So what? It doesn't even involve XL Bullies, it's simply illustrating the point.
No, the study you are so reliant upon shows that genes and environment define behaviour (see the very definition of heritability), and that breed standards which focus on certain behaviours as the ideal derive only from those selected bloodlines with high inheritance, ie the pedigrees you see at Crufts. With such a narrow focus for your single study, of course you will find limited variance within breed.
Against that, you have several other studies that show there is actually a far greater variance within breed, and that between breed similarities are closer, because behaviour is rooted in genetics and environment, not in breed.
What you're missing with XL Bullies is that the gene pool is rather small, XL bullies share both physical and behavoural traits, half of them in the UK even share a common ancestor note you got confused previously but that isn't an argument that only those dogs are the issue but rather is just being mentioned to illustrate that previous point.
What you're missing is that XL Bullies are just one of several variants of the American Bully breed. Most registries do not even acknowledge them as variants, while others do not even recognise the wider American Bully as a distinct breed.
Having a common ancestor does not really mean much either, beyond your mere implication, and you have not illustrated how this is actually a factor in either that direct lineage or any of the groupings of the wider breed. I also think you'd be surprised by the diversity of bloodlines, which is smaller than most older breeds of course, but still with enough variety to avoid the impact of inbreeding in the majority of cases.
The whole breed is descended from fighting dogs, that's literally the point of them, you're just in denial of that, look at how they're marketed FFS!
Quite a few other breeds are "descended from fighting dogs", too... What's your point?
As for marketing - You have found one section of the chav populace that styles their adverts on boxing posters. Plenty of other breeders show cute ickle puppies instead. Neither has any bearing on how the dogs will behave.