You can set up presets for your panel to show you what you want as you want it.
Click on the "Hamburger" dropdown menu of your panel and you will see at the bottom where you can save and manage your view presets.
Once you save a View Preset you can then go to Manage View Presets where you can begin the process of assigning them keyboard shortcuts. First, you have to use the dropdown menu next to each preset to select the keyboard shortcut field.
Then open up your Keyboard Shortcuts and search "Project View Preset" in the search bar. Now add shortcuts key combinations to each of the fields you had assigned in the previous step.
And now you can save a whole bunch of different views, including meta displays, and thumbnail sizes, and list views.
@gerikp - Are these Project View Presets still isolated within each project file? If I recall that's how they were when they first launched, but maybe Adobe changed it by now, which would be great!
@UCKG5FD4 - If the above doesn't do what you're looking for, I think you'd be limited to creating a .prproj with the Metadata fields/columns laid out the way you want, and have that serve as a Project Template for any new projects. Unfortunately, to the best of my knowledge, new projects aways open with the default metadata columns, and even loading a Metadata preset does not remember the column order or sizing that was used with them.
It's something I wish Adobe would change... or rather, change BACK, as I think earlier versions of premiere (~2015) saved Metadata presets to Workspaces, (but I could be wrong on that). However, as a backup, project templates can help do that for you at least.
The shortcuts are a workaround. The objective is to have the preferred layouts open by default. That includes the project panel staying in the same place within my overall saved layout, with the preferred layout inside the project panel also remaining the way I saved it.