First, even if they were giving access to their genuine source code repository, there's absolutely no guarantee that the binaries aren't backdoored by Kaspersky, FSB, or both. Alternatively, they could just hand over a phony copy of the source.
It's kind of a pointless offer. There's no real reason to deny, but there's also no reason to accept. If the fear is that their products might be influenced or backdoored by hostile intelligence agencies, the only reasonable solution is a total boycott.
(And yes, I very much understand the exact same could be said of the NSA and a lot of US-made software.)