Here's the solution I found. If you're attempting to attach the drive following the Samsung instructions, attach the T7 ONLY when it tells you to. That means you do so in the middle of the process which is a bit counter intuitive to me.
I did get the Samsung procedure to work, but it's odd the way they phrase the instructions.
Regardless, we have a dozen or more of the drives attached to five Macs of various vintages and models. They're all found without the "help" of the Samsung information.
For ours to be available, they can be attached either before startup or while the Mac is running.
If your T7 is balky, I suggest you consider it's damaged somehow and seek Samsung's advice on returning it. Or take it back to the local store or whatever.