I have a 5D3 and was able to continue using the drive in Big Sur by connecting via the USB port in the back instead of the Thunderbolt port. I found that if I terminated on the iMac Pro side, to a Thunderbolt port, it works but the desktop icon is not the nifty Drobo drive image but instead a generic orange disk icon. However, if instead I used a UBS-C to USB-A cable (terminated via legacy USB port on iMac Pro), then it works fine and the desktop icon is as expected.
My remaining problem is that while the drive is fully functional in Big Sur, it will not be found by Drobo dashboard. I confirmed the app has Fun Disk Access, rebooted, uninstalled/reinstalled Drobo Dashboard and nothing changes this.