The "I bet" thing does not work in science...
First of all, one would need to define culture a wee bit... Because, frequently something that can be described as instinctual behaviour is not culture. Not in Human sense, that is. Here, I'll go (for now) with "science" site, just for fun:
What is Culture? | Definition of Culture
Culture is the characteristics and knowledge of a particular group of people, defined by everything from language, religion, cuisine, social habits, music and arts.
Then, one would need to show that the same quality is present in animal kingdom. Not just some little element in some species and then another little element in another, all of which have to be seriously overstretched to make it look like, ever so slightly, as if what they are doing is essentially the same as what we do, i.e. with creativity and forethought, as self-aware, reflective beings, that we potentially are - but which animals are not, period, no potential of it whatsoever, full stop! So, good luck with that...
Being a geneticist, he showed a number of things that make us "failed animals", i.e. we were no longer "fit to compete with them on their terms", I guess. Convincingly. We simply lost tons of capacities that animals have, period.
But then, he showed some changes that made us unique and "out of animal kingdom league". Remember the "cooking" advancement? Instead of chewing 10 hours a day - we do it only 1/2 hour a day. And we get our brains free to grow and do what only we can do on this planet. Those changes, it seems, did coincide with some physical attributes we have, which animal do not have, especially potential for language with grammar and cross-generational communication being an obvious case in point, enabling us to co-operate effectively even in terms of long term planning, teaching our kids etc. He stopped short of our potential/capacity to foresee the consequences of our actions, as thinking, reflective beings, sadly. Not that genetics could show god knows what there - except the physiological part, the humongous potential to create gazillion connections in our brains etc. Again, good luck showing that in animal kingdom.
But he never went into moral issues, the issues only Human Beings have, being free to decide for ourselves how to act, on the basis of principles we choose for ourselves, not being determined by our genes, instincts, environment and so on, of course. This is way beyond anything a geneticist can say from such a viewpoint. He simply doesn't have the tools for that. But philosophers and other social scientists do...
OK, he may well try:
And because he knows a lot, unlike some here, he concludes sincerely: "Biology, science as a whole, will tell you everything you wanna know about yourself... apart from the interesting stuff." (So, give it up, LBJ!
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We have the potential to change our culture, we can invent a new civilisation, even, our Human Nature keeps changing over epochs, we can even be(come) revolutionaries.
Remember the chimp and human babies upbringing that did not differ? How far did a chimp baby go, after a fast start? And how far did a human baby go after a slow start?
Good luck with all those inconvenient facts, all showing that in animal kingdom, even if you take all the animals together, pile it all up (it won't go very high, mind), then try desperately to anthropomorphise it heavily and... they fail to amount to anything human-like, indeed...