Mac Catalina is a 64 bit only operating system. I know several have had issues connecting printers to the USB port of the router. They needed a new printer app. The Go64.app will show you what apps may not not be supported. What is the format of the drive you are connecting to the router as in the past you could not use Time Machine to backup to the Router because of the formats supported required by Time Machine vs the formats supported by TP Link routers. I have a 1 TB drive connected to my Archer C8 as a shared drive but can not use it for Time Machine. See https://support.apple.com/guide/mac-help/types-of-disks-you-can-use-with-time-machine-mh15139/mac

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Well the drive I'm connected to has two logical partitions.  One is Windows, NTFS and the other is Mac OS Extened (Journaled, Encrypted)

 

I'll try the driver app you both mentioned.

One router that does claim to support Time Machine is Archer A20 C4000. The apple routers that did support it are no longer made plus they had other limitations. I do not think you can get your router to support Time Machine. Can you get to both partitions thru SMB from your Apple?