There's an important distinction among external drives. The larger ones sold as "desktop" drive units use HDD's internally almost identical to those you can mount inside a computer, and they do require MUCH more power than a "laptop drive". Moreover, most also require a 12 VDC supply line, which is part of a standard SATA power connector from a PSU. An EXTERNAL drive in a case with its own power supply module gets all the power it needs (in all required voltages) from that module. No USB3.2 port can provide that. That port can provide the power for the external unit's electronics including its communication subsystems so it CAN "talk" to a host USB3.2 port, but it can NOT pass any initialization tests because it needs the 12 V supply to spin the disks.
The smaller units marketed specifically as "laptop hard drives" for use with USB3 use smaller HDD units with a different drive system so that they CAN do all their work on a supply of 5 VDC not more than 0.9 A, and that IS available from a USB3.2 port. However, that consumes virtually ALL the power available at that port, so it cannot share the port with other devices. Further, it cannot get that much power from an older USB2 port (limit there is 0.5 A).
If you have an external HDD unit WITH its own power supply module connected to it, that SHOULD work properly with a USB3.2 port. It may even work with a USB2 port at a slower data transfer rate.