Update: It was the Sandisk SSD, both of them. For some reason, they don't work for me anymore on iPhone (3 initial successful connections out of maybe 200 tries in total). Ok Sandisk, never again.
Samsung T7: not so rugged, but nice metal chasis, two short USB-A-C USB-C-C cables in the package (unlike the SanDisk provided USBC-A adapter I lost couple of times), a nice, blinking blue led light turns solid indicating the drive is powered. Most importantly:
it works every single time, no matter the cable and its rotation, and the alignment of stars. As soon as I power on the brick (doesn't even need the USB-C PD ports, Qi USB-A does suffice), the T7 drive lights on and pops up in Files.
Interesting note: unlike Sandisk that tries to (unsuccessfully) connect with the power bank disconnected, the Samsung T7 drive stays off (no LED light), leaving no unsufficient power pop ups. I think this is how it should work. Cancelling my Camera adapter replacement order.
BTW I tried connecting the SanDisk SSDs with the Samsung provided cables. Nope.
Wish I could change my title: Connecting a SanDisk Extreme Portable SSD to iPhone 13 is a nightmare.
Still, having to carry two cables, one power bank and camera adapter just to do that.. is very annoying.