If you're trying to run the basic USB2.0 ASI120M* or its clones on a Raspberry Pi device, I've got bad news for you:
ASI120 Flakiness on Astroberry
There's some indication from another user that they work better with RPi4 devices than RPi3 devices such as mine, but I've also corresponded with someone who owns a T7 and both Pi4 and Pi3 devices who experiences much the same issues on both. A powered hub seems to help a bit, but the ASI120 is not always detected in all hubs, either.
With respect to updating firmware, it's not your Pi that's getting a firmware update: it's the T7 itself. The architecture-specific "drivers" to which you refer are actually compiled programs for that architecture to enable you to update it from that architecture. Unfortunately the non-Windows versions don't seem to work properly (yes, I tried already). To actually update the T7's firmware, the recommended course of action is to do it from a Windows machine. So from the
ZWO Software & Drivers
page, you'll need the following:
Windows tab: Native Drivers
FW Update tab: USB 2.0 Camera Firmware (there's two things to grab here)
First install the Native Drivers on a Windows machine, then plug in your T7, then install the VS2008 pkg and then the firmware. The firmware file itself for the T7 is ASI120MC-compatible.iic and is found in the FWTool zip.
This should get your T7 to a nominally operational state for most but not necessarily all Linux workstations. I have been able to use it successfully from KStars/Ekos on Linux laptops. If you are doing actual photography with it on a Pi (say of the planets), it will probably work, but if your intent is to use it for guiding... expect flakiness of the sort I posted earlier.