If Apple wanted to store view settings for remote volumes (or even local volumes), the competent design would have been to store them locally (and per user) in a central location on the machine doing the browsing.
I remember the promised re-write of Finder and thought it never happened. Nothing seems to have improved for the user. I could post a list of decades-old defects that persist today.
The one thing I can think of that has finally been fixed (and this was long after the "rewrite") was that you can now finally sort the file list properly: with folders at the top.
Now I wish someone would explain something that might actually be worse than DS-turds: the presence of a "Contents" subdirectory in every goddamned Apple package. I mean... who thought you needed to create a directory called "Contents" to hold the contents of the parent directory? It's mind-boggling.