Great explanation.
The early 51 D models had some stability issues because they had less side area due to the removal of the turtle deck. It was resolved with the addition of the dorsal fin.
Sik
The 'reduced side area'due to installing the bubble canopy is a myth.
The RAF/R-R discovered the yaw instability immediately after Merlin installed in Mustang I. AL 963 was modified with both a dorsal fin,then increased chord fin/rudder combination. The issues and flight test results were reported to NAA in Feb 1943. NAA tested the dorsalfin o the P-61B-1 and NACA tested both he DF and a tall tail in fall 1943. InMarch 1944,both the DF for P-51B and P-51D were released to Service Group for kit production, but the P-51D production article was only released for P-51D-5 (both Inglewood and Dallas) at #651, and for last block P-51C-10-NT.
The additional benefit to streamlining flow during yaw, increasing effective fin/rudder area - was reduction of torsional loads on empennage in yaw due to prop vortex.