Yes...
I completely agree that you would have a lot of difficulty with believing this is a problem in some component --- it would be a system software issue, and highly unlikely to be any kind of hardware fault.
I asked about copying the folder to another drive to see if that "X" disappears from the copied folder in its new location - or, if your system won't allow the folders to be copied at all.
Can you tell me exactly where those "X"-ed folders are located? Are they possibly at the root level of your drive (and not in your user folder, for example)?
Which Mac model do you have, and which version of macOS do you currently have installed?
Finally, do you have any kind of "finder replacement" software installed, such as Pathfinder, or some other app that allows you to change how files are displayed, sorted or manipulated?
Reason I ask that, as I am not familiar with any standard part of the finder that positions an "X" in that position, so I am thinking it might be some third-party software that you might have installed on your system to allow you to modify how the system works with files. Pathfinder is an example of such software.