I think how easy it is for Google to fix to make detecting googlebot this way harder depends on why Googlebot is doing it in the first place, which we don't really know. If it's done for performance reasons, or for predictability reasons (rendering the same page twice guaranteed or at least more likely to produce the same result), it might be difficult to change without cost.

But I believe Googlebot always faithfully sends it's user-agent. Is there a reason Google would care about 'fixing' this to make Googlebot harder to detect via random() predictability, when you can always just detect it via user-agent anyway? I'm not sure, curious if others have thoughts!