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Max Weber has you covered: https://en.m.wikipedia.org/wiki/The_Protestant_Ethic_and_the...

However, the German economic powerhouses are the Southern states - all of which are predominantly Catholic

In Baden-Württemberg (the South Western state), 37% are catholic and 33% are part of the official evangelical church, with likely a few in smaller protestant groups. Likewise for franconia, which is mostly within the state of Bavaria.

I'm not the one in this thread claiming causation but if there is correlation it is in Germany almost certainly between Catholicism and economic output rather than Protestantism: https://de.m.wikipedia.org/wiki/Römisch-katholische_Kirche_i...

I doubt the effect of denomination would be very big, so not taking into account much stronger factors (e.g. West vs East), this map doesn't say anything.

Primarily protestant (lutheran) states prefered Sozialdemocrats over Christiandemocrats, while the last ones are less socialist.

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