Clarification on the scenarios after more testing. Scenarios 1 and 2 (minimize the Evernote window, or close the Evernote window) with Evernote version 10.41.5 allow the screenshot feature to work properly when you're using multiple desktops on Monterey. I'm using the direct download version, not the App Store version.
Scenario 1:
Minimize the Evernote window (cmd-h)
Click the Evernote Helper icon in the system tray
Click screenshot
Observed behavior:
The Evernote window stays minimized, , does not jump to the top of the desktop. Allows the screenshot to be taken without interference.
Scenario 2:
Close Minimize the Evernote window (cmd-w)
Click the Evernote Helper icon in the system tray
Click screenshot
Observed behavior:
The Evernote window stays closed, does not jump to the top of the desktop. Allows the screenshot to be taken without interference..
Scenario 3:
Evernote window is open on your desktop.
Bring another window into focus / on top of the Evernote window.
Click the Evernote Helper icon in the system tray
Click screenshot
Observed behavior:
The Evernote window pops up to the top of the desktop, interfering with screenshots.
Scenario 4:
Hide the Evernote window (cmd-h)
Click the Evernote Helper icon in the system tray
Click screenshot
Observed behavior:
The Evernote window pops up to the top of the desktop, interfering with screenshots. <-- corrected