I was surprised and even shocked that when my mother in law was out of the hospital after cancer treatment the Diakonie (social welfare connected to protestant church and funded by those taxes) showed up twice a day to change her dressing, make sure she was fed and administered her meds. And she was not a churchgoer. Made a huge difference.
Despite that I still agree those taxes should't exist and also agree that no organizations should be exempt from taxation.
As usual it's a stupid historic thing dating back to 1803 and not one has touched it since (It is "compenstation" for a one-time transfer of church property to the states in compensation for France taking German territory).
FWIW, in the US and elsewhere, we have ideologies like Critical Race Theory which are not discernibly different from religions (certainly more religion than sociology or research) and which are taxpayer funded. (And no, this is not the same thing as religious studies programs--studying a religion/ideology is not the same thing as promoting, producing, and enforcing it).
Churches should pay taxes, not use the government to levy their tithe as though it is a tax.
In Germany and a bunch of other EU countries this phenomenon exists as well:
https://en.wikipedia.org/wiki/Church_tax
The sooner this is abolished the better.