‘Flagged’ folders for separate accounts

I have several inboxes for several Google/Gmail accounts and use “starred / flagged” emails a lot. It seems that only the Smart Folder “Flagged” has ALL my “starred” emails across all email accounts.

Is it possible to have the Starred / Flagged folder for each email account IN the email account tree. Just like Send, Drafts, Trash, etc?

Here the settings in Gmail:

thanks.

You can do it with the Important label, but not the Starred one.

I have changed this thread to a feature request.