Just tried pasting a screenshot into eMC 9.2.2202 with cmd+v under OSX 12.7.1 and it works totally as expected.
That works because when you take a screenshot on the Mac “that writes a standard bitmap image .png file” which then can be copied and pasted into any html mail program or paint programs etc as per the screenshot example properties below where i took a snippet of my Mac desktop & it wrote a .png file.

Also tried to to copy a picture from an LibreOffice file, by marking it and then using cmd+c and then pasting it into eMC with cmd+v. Also works perfectly.
From testing copying pictures from Libra Office into eM Client, i suspect the difference why it copies and pastes ok into eM Client or any other program, is its “using standard opensource programming” and not some proprietary Mac OS programming. Libra Office appears to copy the image correctly to the OS clipboard. So whatever way Libra Office programmers are copying it works compared to Apple Notes programmers.
Whatever Apple do inside Notes when a picture goes in there, doesn’t seem to then be a normal bitmap picture format anymore. Or if it is a normal standard bitmap format when it goes in Notes, then Apple Notes has a bug where its not copying the bitmap image properly out again via the clipboard with the shortcut keys, so it won’t then paste into other standard html mail clients or paint programs etc.
As per the message below if you try to copy and paste Apple Notes pictures into programs such as Pinta or eM Client with the shortcut keys ⌘ C and ⌘ V, you get the error “the image cannot be pasted due to the clipboard doesn’t contain an image” or you get a “blank no image” as in eM Clients case.
(Copying an picture directly from Apple Notes using the copy and paste keys into Pinta).

So as i said previously this is a Notes issue & the only way around it is to first "dblclick the image in Notes, so it first opens in the Mac Preview Program and then copy and paste it from there via the shortcut keys. So if you want this issue fixed, you will need to speak to Apple who program Notes.