I have the same issue after I decided to format my MBP mid 2012 for the first time.
It seems that with the end of iTunes on Catalina apple made a mess with accounts connections, now we have books connection (working), App Store (Working), iCloud (Working), iTunes Store on Music (NOT Working), TV (Not Working) Cannot authorise the device or Sign in. Errors are 11556 and 1001 and the Fuse thing.
Checked apple ID , Country and Region Date/Time, Number of allowed Devices (5), and cleanned the /var/db/crls/ cache.
The problem is only on MBP all other devices are ok.
Apple service status says that iTunes services are working well on my country and region (Portugal), But seeing here all this comments with the same problem at the same time, it seems that this is a brand new problem that is global to iTunes service.
Another thing that doesn't work is reinstalling OSX.