While doing some more research on this watch, I found this 2013 sales listing from here on Chronocentric:
The crown on that watch was also a Heuer shield crown and is described as a push in crown which these crowns apparently were:
The crown is push in, something that several of these L models have.. the early L's seem to be Screw, later are push. (I had this confirmed a while back when I got a new replacement crown from TAG Heuer for an identical (but lume dial) variant, and this crown was push in.
Any other thoughts on this would be greatly appreciated.