ORIGINAL: Mike Scholl
It's all pretty much nonsense, as the Japanese couldn't build or service the engine for the Ju-87. Look at all the problems they had keeping their Tony's flying. The last thing the Japanese needed in 1941 was a bigger servicing and production headache than they already had.
The Ju 87 had the Jumo 211 engine, which would probably have been easier to produce than the DB601 copies used in the Ki-61 and the D4Y. Part of the problem seems to have been that the Japanese license producers fooled around with the original design, which led straight into disaster with the Ha-140.
Shattered Sword makes the point that the need to warm-up the engines for a prolonged period on the flight deck was mainly why the KB couldn't get off a strike against the US carriers in time at Midway. Liquid-cooled engines need less warm-up time in the first place, and, secondly, the engine oil and coolant could have been pre-heated in the hangar, further shortening the time to get the strike in the air. So the KB might have fared better at Midway had they already been equipped with the D4Y.