One effect is that the concept of a "Blitzkrieg" won't really exist as we know it, as even with the usage of tanks, the fallback infantry element is something which the old Prussians cannot fully let go of.
I’m not sure that would be the case.
The Nazis didn’t really dare touch the army till 1938, so the doctrine-makers would be mostly the same. Furthermore, I think it’s worth noting the pattern of the winners of the last war clinging to their war winning formula, while the losers adapt, which happened both to the Germans between the Franco-Prussian war and WW1, and to the British and French between WW1 and WW2. Both those factors are still present ITTL, and I think the changes in the political situation didn’t really affect the military that much.
The definition of “Blitzkrieg” is also very muddied by pop culture and mystified by the wild German successes of early war, but in the end, it’s just a name for the first real example of combined arms warfare we got to see. Heavy use of close air support, massing armor for breakthroughs and operations between enemy lines are just very logical conclusions to reach, and indeed, some soviet officers had thought along he same lines before the purges with their own “Deep Battle” concept, that would play a key role in their late war victories.
So, if we interpret Blitzkrieg as Fall Gelb-esque, all-or-nothing gambles, then yeah, they won’t be doing that, but the rest of it wont probably change.