what is a "skip double bluff"? i dont think any such thing exists.
E should not stop after blind-playing w1 or g1, and the reason for this is because C did not react to A's m2 clue in any way, which means C must see m1 on finesse position (or layered) somewhere. since E is the only player who does not see m1, they know they must have it. E does not expect D to blind-play y1, but when D does so thats when E knows that a
Patch Finesse is going on!
from B's pov, they know they must have one of y2/g2/w2/m2 because of C's lack of reaction. after D blind-plays y1 B thinks they have y2. but this is disproven immediately by E also blind-playing - at this point B should know that they have m2 exactly, because m1 is the only 1 that requires a
Patch component to truly be on finesse position!
to answer ur initial question in OP, D should respond
immediately! D should think they are playing m1 not y1. sure they might suspect a
Patch Finesse when C chooses to ignore E's 1s, but they still cannot know for sure!