I was decompressing a DMS file to DF0: the other day whilst at the same time trying to create a new drawer on my HD. When creating the Drawer the floppy disk writing would stop until I'd completely finished creating the drawer and let go off the right mouse button.
This happens because on Amiga when accessing menus it blocks all gfx output. It was one of many tricks to make system more efficient. It still multitasks but anything trying to display new gfx content on that screen is blocked.
There is a utility called MagicMenu which replaces standard blocking menus by non-blocking menus but it is also much slower.