The issue about the information not showing on the Finder's status bar may be due to the file system, or the location being viewed. I think I noticed this once or twice before, but never really paid any attention to it. I currently have multiple Finder windows open on my internal boot drive and they are all showing the "Available" space except when I select the root of the drive "Macintosh HD" item (Big Sur and Ventura).
FYI, the "Available" storage designation is very misleading term and should not be used since it does not mean what you think it does. What you really need to view is the actual "Free" storage space. Unfortunately the Free space value is only shown in Disk Utility and the System Profiler. I have more details about the issues with Available versus Free space here:
Understanding macOS storage terminology -- hwtech - Apple Community