But really they drag out Tiger vs Sherman implying that the Germans lost because they didn't go for a huge number of cheaper tanks ? Germany didn't have the material to build a huge number of cheaper tank. They already had to compromise even with their 1300 Tigers because they couldn't produce the alloys they wanted in sufficient amount and had to use cheaper steel. And not only that. They didn't have the factories to build 50000 Shermans, nor the workers. And even if they did, they wouldn't have had the crews. And they certainly didn't have the fuel to operate them, they didn't even have enough for the tanks they could produce.
Not to mention they put most of their ressources eastwards anyway and didn't fight Shermans all that much.
The Germans lost for a lot of reasons, and sure, mass building Pz IVs (roughly their equivalent of a Sherman or T-34) instead wouldn't have saved them alone.
However, the Germans certainly could have fielded more tanks to better effect: for most of the war, their Panzer divisions were permanently depleted. They were supposed to have a strength of about 200 tanks, but introduced a rule that each company could have one fewer squadron and each squadron one fewer tank, thereby meaning the standard strength of a Panzer division was actually only about two thirds (~130-140). And that's even before them being understrength due to losses, or in late war having to make up numbers with tank destroyers.
If a PzIVH (the main variant) cost about a third of a Tiger to make and was about half the weight, this suggests that with the same effort, factory effort and materials, the Germans could have produced around twice as many. In terms of a Tiger II, they might have got three PzIVHs. Once in service, PzIVs would also need correspondingly less fuel, break down less, be easier to recover when stuck or damaged, etc. (chances are about two-thirds of Tigers would be unfit for action at any one time). They only made about 1300 Tiger Is, so that would be 2500-3000 PzIVHs. Although if you start including the Tigers IIs, Ferdinands, Jadgtigers and other hulking wastes of resources and factory time, including the time and effort setting up facilities for new designs, it's plausible the Germans could have made getting towards 10,000 more PzIVHs instead. With the context that they only built 8-,9000 of all PzIV variants, that's a
lot more tanks. It's also not that much of a big deal in manpower, because an armoured battalion required a lot less manpower than an infantry battalion. Losing a few regiments of infantry to supply the crews and mechanics for those extra tanks is totally worth it.