I now have successfully connected the Mac Mini M4 Pro to the ASUS 6K monitor (PA32QCV) via Thunderbolt. Using your advice, I replaced the 1 meter TBT4 cable with a Cable Matters 1 meter TBT5 cable. After manually switching the monitor to Thunderbolt connection setting, the display connected and displayed properly in a few seconds.
I then daisychained the Samsung 4K monitor (LS32D800) to the ASUS monitor - immediate success. I used the same Cable Matters TBT4 cable that previously [successfully] connected the 4K monitor to a TBT5 hub.
Subsequently, I tested a TBT 5 cable from an OWC Thunderbolt 5 hub (OWVTB5HUB5P) between the Mac Mini and ASUS 6K monitor with success.
Using a Treedix USB cable tester, the ASUS(?) cable [750.0A50D.0001] with the TBT 4 connection housing labels is *not* identified as Thunderbolt 4. It is identified as USB3.2/USB 4 Gen 2 (10Gbps/20Gbps).
My thinking is that the Thunderbolt connection of ASUS 6K monitor to Mac Mini may be finicky with respect to the cable. A possibility is also that I have an out-of-spec or incorrect TBT4 cable. BTW, in each of my tests, I ensured the cable ends were securely seated in the connectors. Since I have the desired Thunderbolt daisychain configuration working, I'll get back to real work and leave additional experiments to others.