Snap document window to artboard size?

Hi folks

So this is a question about Illustrator, but bear with me...

In Photoshop, when you have a document open you can drag the window bigger/smaller, revealing the 'canvas' around your document.

If you then use 'CMD -' or 'CMD +' to zoom in or out of the document, the actual document window snaps back to the size of your PSD.

Illustrator acts differently - if you zoom in or out, the document window itself remains the same size - you just see more of less of the document's canvas around your artboard. It's a pain, as if you have several documents open that you want to be able to see at the same time, you have to individually re-size the document windows of each so they fit on screen at once.

Any way around this?  I know I can use 'Window > Arrange > Tile' but that just arranges the open documents into a grid.

I can also select 'View > Fit artboard in window' but that doesn't resize the window - it just resizes the artboard to fit... it still leaves the window as wide/tall as it was. I guess I want to do the opposite.

What I'm after is a way to 'fit' the document window to the size of the artboard - does such a thing exist?