There is also a 221118-00-48-00 out there not just 3E variation. I don’t know what the differences are beside non working hotplug facility compared to the base version. I suspect any variations different from 00-00-00 could possibly mean beta vesions anyway, I could find no firmwares newer than 2022 for asm 1064/1166 after conducting an extensive search, and besides the existing drivers seem to stop being produced in 2020 in any case.
I don’t use newer 2022 firmwares on my 1062R adapter despite being available as there is major performance loss despite fixing the 600 series compatibility, but these 1166 firmwares are fine in my testing.