The fact alone that Kaspersky wants to continue selling their AV product in western nations is more than enough reason for them not to do things like these. They are developing an excellent product and the NSA is really mad about that.
The US has also been fighting a proxy war with Russia for years.
Kaspersky’s only crime is that it’s a Russian software developer developing non-trash security software. I’m A LOT more worried about the US having backdoors literally everywhere (and believe me they do) than about Kaspersky being Kreml spyware.
Remember how the US was so worried about networking equipment from China being full of backdoors (which was never proven) and the ENTIRE TIME they had FULL access to all CISCO equipment?
What do you think is more likely considering the extent of the US global surveillance programs? That Kaspersky is a Kreml pet or that the US just wants to drive you toward software they can penetrate far easier or even have backdoored already?