I tried but it wouldn't work.Put the white plastic stock piece back on and let the adapter sit on top of that. you nay need to pull the boot up over it slightly to hide it completely but it should work fine.
The white adapter locks into a groove of its own on the shaft leaving a space between where it sits and the bottom of the adapter.
I'm not able to pull it up any further.
I may have to just keep looking for the right adapter I just wonder who has it.