I have a 1970's (Canadian) ROKEE Dash in my 1987 Welsh Austin Mini. It's exactly as you describe. Things get lost down into the void etc. as the holes are just open.
Good idea attaching some kind of bag to the back of the glovebox holes. Wish I had thought of that before installing it all.
PITA to rip it all out, though I may have to do it someday, as the red vinyl I used to recover the horridly cracked wood has started to
take on a distinctive pink hue here and there even though the car has been garaged most of it's life since it's arrived on this side of the Atlantic some 12 yrs ago now.
It'll be on my to-do list if the ROKEE ever comes back out.
~ 30 minutes in a Mini is more therapeutic than 3 sessions @ the shrink. ~
Mike NB, Canada