Really every AV software is spyware for whatever country it operates in. Just depends on who you'd rather have your data.

No more than crowdstrike is for the American government. But yes.

Yes... no... sorta....kinda... but no different than how most, if not all, large American security and tech vendors have either overt, or covert, links to the the American Security State.

Kaspersky is a long established credible actor and leader in the threat research space, hands down one of the best track records over the long run, and you should take their reporting and disclosures seriously.

I'm not saying that to dismiss the very valid concerns about installing Kaspersky on sensitive private sector and government systems, but to contextualize my answer.

On a sort of related note, earlier I said that the American security state has both overt, or covert, links all across the American tech sector.

What that means is that, even if a company holds their principles not compromising their customers or their product, the US government can either get a court order to force it, or they'll be targeted by something like the Pentagons Signature Reduction program and have sheep dipped employees worked into their organization.

Point is, Kaspersky is one of the few remaining Russian brands and entities still holds a lot of credibility in it's field, but again, that doesn't mean the concerns of Western government's aren't valid, just that they should be viewed in the proper context.