Said hypothetical should include the disease originating around the lab, numerous conspicuous coverups and missing people, and a lack of transparent investigation. Should such a scenario happen, I think your argument becomes a bit of a strawman (i.e. that a segment of every nation's population would always cry foul in said scenario). I would expect more than just Russia would want access, and likewise that plenty of US citizens would protest as well.
Why is it a strawman? If malfeasance is occurring, they will not want Russia looking at their lab, if malfeasance is not occurring, they still do not want Russia looking at their lab. I'm just pointing out the obvious, ((!A -> B) and (A -> B)) -> B.
It’s also worth noting that you’re talking about the US allowing the country with whom they have the most adversarial relationship investigate their labs. In reality, we’re taking about international bodies doing the investigation. The fact that China has isolated themselves so badly that the best analogy for “anyone investigates China” is “Russia investigates the US” says plenty.