I have had problems with disconnections since upgrading my 2016 MacBook Pro 15" with Touch Bar from Catalina to Big Sur 11.1 in January. At first it was only my 3 QNAP NAS drives that disconnected, the external USB drive I use for Time Machine did not disconnect. I have had QNAP NAS's for many years and never had such a problem with them before.
All 3 NAS's continually disconnected from this MacBook only after upgrading to Big Sur but never disconnect from my other Macs - a 2009 iMac running El Capitan, a 2012 MacBook Pro running Sierra and a 2014 Mac Mini running Mojave. The problem had to be Big Sur but I didn't know why.
This MacBook has 4 TB 3 (USB-C) ports therefore I needed a TB dock to connect other peripherals and bought an OWC TB 2 dock in 2016 later supplemented with an early model Hyper Drive 6-in-1 hub. The OWC dock gives me an ethernet port for access to my network including the 3 NAS's, an HDMI port to run a 2nd monitor and USB ports for the Time Machine external drive and spares for occasional drive connections. The Hyper Drive hub gives me an HDMI port for a 3rd monitor and a USB port for my DAC.
I lived with the disconnections from the 2 NAS's I used for backups, but got frustrated with the disconnections from the main NAS which is my main business file working drive. In my business I have collected literally millions of documents many of which I need to refer to everyday in order to write reports, papers and articles. Disconnections on this NAS are a real issue for me.
BS 11.1 caused disconnections from the NAS's but no obvious disconnection from the internet or the rest of my network. The upgrade to BS 11.2 made no discernible difference to the problem. The next upgrade to BS 11.3 seemed to make the problem slightly worse.
But BS 11.4 was a disaster. As soon as 11.4 was installed the MacBook crashed and re-started every few seconds to few minutes with a kernel panic. I eventually managed to stop it from crashing by switching from an ethernet connection to a wifi connection.
But the disconnections continued to occur every few minutes. I could be writing a report and try to save it every few minutes only to find the file I was writing to could no longer be found and I had to use Finder's Go To Folder menu to re-establish a connection for another few minutes.
Additionally, the Time Machine USB drive (via the OWC TB 2 dock) was continually disconnecting without being ejected and the USB DAC (via the Hyper Drive hub) was now continually disconnecting, this had not occurred before BS 11.4.
I seem to have solved the problem at last and am reporting my solution here. I have stopped the MacBook from ever going to sleep whether on battery or power adapter - I only ever use the power adapter, yet still needed to ensure never to put hard disks to sleep when on battery. The same with turning off the display, it is now set to never on both power adapter and battery. I do not understand why this setting is required for battery even when I am using the power adapter. After making these changes and seeing no more disconnections I switched the wifi off and re-started the ethernet connection with no further problems.
I have now been running for some 27 hours without a single disconnection of any type - it is a big relief.
From reading the posts above, it seems that others have been finding a similar solution though not everyone. Hopefully this post can help in some way. If I get another disconnection despite my "fix" I will report back.