I think Apple wisely choose to halt the update to older MacBooks, or as has been said, "retire the update for 2013 and 2014 MacBook Pro." I say this because I'm one of the owners of a MacBook Pro 13" Retina Mid 2014 that was bricked by the update. I attempted install the night Big Sur came out, it went through the progress bar with the Apple logo, restarted and came up to a black screen (LED backlight on, nothing else). I spent about three days on the phone with Apple Support and took it in to get it diagnosed, the Logic Board bricked. At the time when I called, I was told mine was the first they heard not being able to get into recovery mode, but since than it looks like many others are effected: https://discussions.apple.com/thread/252034110
It describes the exact same issues mine had after attempting to install Big Sur.
Now the frustrating part is that I have a bricked MacBook Pro that doesn't even have a trade-in value to get a new MacBook to replace the one Big Sur killed. Not pleased and hope Apple begins to offer discounts to those Big Sur took out. Should be easy to tell with the MacBook being logged in, Big Sur downloaded, and the MacBook never logging in again...