Since you asked, here are my findings:
LV23 - can create the attached snippet (don't know if it works), and save it for LV14 (also attached). All the pulldown menues show relevant properties
LV21 and LV 19 - open the saved for LV14, show a correct image, but the first property node lacks the "Block Diagram" entry in the pulldown; further properties have no menu ETA - and show the relevant pulldown menues when "Show VI scripting" is checked.
LV14 - the first property node menu *has* a "Block Diagram" entry, but the further properties don't match LV23
W14.vi W23.vi