I think this may be the source of your problem.
Because the switch is kept actuated most of the time (trunk closed) the actuating lever on the microswitch ultimately bends to the point it won't open the switch when closed, therefore signaling the power top controller that the trunk (deck) is open and the top won't go down.
There is a two wire connector (brown I think, just to the left of the yellow vacuum/pressure line that operates the latch lock. Disconnect the pulg, make sure the deck lid is closed (latched) and try to operate the top. If it works, you have found the problem.
I have tested at least 4 used trunk latches and they all had this problem.
An easy and inexpensive solution is to get a "mercury switch" and install it in such a way that when the deck lid is closed, the mercury switch is "open". I found a switch that was installed in a mounting block, I connected it as above, just used 3M tape to attach to the deck lid in the area just to the left of the trunk latch ---- problem solved.

Hope this helps ----- See attached wiring diagram 8W-66-3