The poor tank designs of the British till the Centurion were afaik rather the result of an under-appreciation of good guns (too small turret diameter) and shoddy engineering. No other army had the same emphasis on leadership as the German one, so there's no particular British fault in regard to radio equipment and lack of three-an turrets.
Tukachevsky envisaged a division of tank tasks similar to the British and French recipes and it didn't turn out that badly simply because Russian engineers began to appreciate the value of a long 76mm gun in 1939 and were able to fit it into both new major designs.
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