I'm pretty sure it was Hyprland, not Omarchy that caused the controversy (partly because AFAICT they don't sponser Omarchy).

They tweeted about Omarchy, but I don't expect companies to do background checks for tweets...

It was both. And sure, I don't expect that either for a one-off tweet. This wasn't a one-off tweet.

Also, if it was a simple mistake, why not write a tiny apology and acknowledgement?

Because it wasn't a mistake.

Of course they're going to be coy and try to pretend like they don't agree with and love every single opinion D14HH and the Hyprborean dev have expressed.

Believe them when they tell you what they are.

Can you provide a first-party source for Framework sponsoring Omarchy?

Sponsorship doesn't just mean money. Check their twitter account, they did a LOT of publicity for Omarchy and DHH.

https://xcancel.com/FrameworkPuter/status/194483904718221319...

And, of course, their (financial) sponsorship of Rails World is public.