Hi,
There are some old Snufflers you have there. The first picture is over 20 yrs old. Haven't use the black Snufflers since mid 90's. On the other one which has also be around its been around awhile ( we haven't made that style probably in over 10 yrs. What you can try there is get a pair of vice grips and pinch the seam together slightly in a couple spots. That should keep the bottom from rotating.
Al Young
JTEC