So there's no consensus on why these patterns have these tendencies. The sample size is quite large. There's several hundred documented, not-known-to-be-related language families, and language isolates, that must have been separated historically from each other for at least a couple thousand years (or their relation would be pretty obvious). It does look like the tendencies mentioned are retained for a long time in separate populations despite language change, for some reason. That it might be because it relates to how we think is speculation, admittedly.
You can read more about the phenomenon here: https://en.wikipedia.org/wiki/Word_order#Distribution_of_wor... It is a rather striking distribution, isn't it?
No, not at all striking. [0] Merely a reflection from the older influences. Many, many languages that are not grouped in the same families, _are_ descended from PIE, and its children. That is to say, they may not traditional grouped in the same family, but would probably still be considered to be in the Indo-European family.
For an example of this "same family" thing, Japanese, Tamil, Quecha, are all probably descended from Proto-Uralic [1], despite not traditionally being considered sister languages.
[0] https://en.wikipedia.org/wiki/Proto-Indo-European_language#S...
If we're just going to assume on very loose basis from typological comparison, we might as well assume proto-World, because that's what the sum evidence suggests. But that guess (an idea I do take seriously) is very different from demonstrating their relationship through solid comparative and historical linguistics.
[1] https://en.wikipedia.org/wiki/Den%C3%A9%E2%80%93Yeniseian_la...
I assume, then, that you've never heard of the Borean languages [0]. Which link the people of southern Asia, northern Europe and South America, culturally, with a common origin around 40-45,000 years ago. The Borean hypothesis is a claim that is made quite seriously, but does not presuppose a universal origin. It is wide reaching, but there are people groups outside of it.
It's an interesting idea, I cannot disprove it. But I don't think it has been proven, either. Even the possible relationship between Uralic, Afroasiatic and Indo-European is not widely accepted yet. Those language families are extensively documented and we can reconstruct their proto-languages convincingly back to somewhat around 10,000 years ago. They look kind of similar in some ways, maybe areal effects? I think to hope for another 10,000 years further back is too much. Borean is a claim about probably further back than even that. The Nostratic and Altaic subsets of the Borean hypothesis, presumably with its proto-language somewhere in Asia around 10,000 years ago, alone is controversial and is not generally accepted.
So far as I'm aware, that's a very fringe idea in linguistics, and pretty firmly rejected, despite many investigations.
Rather, what you're seeing is propogation from older language influences. Things like Proto-Indo-European have very, very widespread influence - but are still very much not universal.