I have the MacBook Air 2017 model.
I tracked this issue for a while over Xmas and New Year as I also had the same problem: I have a Ugreen USB 2 Ethernet Adaptor. After the Big Sur update, it stopped working.
Being a Mac novice I was very reticent to do the software changes as recommended in this post to counteract the Asix chipset issue, though I am sure they work great. So being a coward I read all the replies, and that had me visiting the Plugable website. Their USB 3/ USB-C Gb Ethernet Adaptor (code USB3-HUB3ME) seemed to be the one to go for as it uses the Realtek chipset, and not the problematic Asix stuff. And it means I can still use the Thunderbolt port for my HDMI monitor connection.
And today I took delivery of said Plugable adaptor. It has both USB 3 and USB-C leads. I used the USB 3 and it worked first time. So far no issues to report. Happy days at last.
Downside is the £25 cost. The Hub does include 3 USB ports though, as well as the Ethernet connector, so could pave useful for other things too.
Over.