Stuart Wilkes wrote:

Hm. One wonders how this purged Soviet Army managed to inflict over 3
times as many German KIA in the first seven weeks of Barbarossa as the
combined Franco-Anglo-Belgian-Dutch armies managed in the six-week
campaign in the West.

What were the numbers of soldiers involved in the two campaigns that
you are comparing. i.e:
Size of armies in the west and the casualties?
Size of the armies in Barbarossa and the casualties?

And the purges themselves had no impact on Western estimates of the
Soviet military. They derided it before the Purges, and the derided
it after the Purges.

The effect on the estimates is of course irrelevant. What matters is
the actual effect!

Tukhachevskii was discovered in the West to have
been a military genius only after he was safely dead.

How does the fact that Tukhachevskii was judged to have been a genius
matter? Moreover how does the timing of this recognition matter?
Just what does it matter whether he was safely dead or unsafely? alive?
Perhaps your phrasing sounds good, but what is it supposed to show?
--
Rpstyk