Report:
I found the problem 10min later.
I tested all the fused much earlier, but without removing them. (mistake)
I traced the line form the fuse box to the hazard switch, running my thumb nail over the wire to feel for a kink or break in the conductor. Nothing. Then I found that the wire going into the back of the fuse box caused the relay to respond if wiggled; buzzing, stopping and then working fine.
It turned out that the previous owner, about 10 years ago, wound a single strand of copper wire around the fuse legs to mend a broken fuse. After all these years it had been working fine, untill now. It seems like there is just enough oxidation or gap to cause a bad connection that manifested as the voltage drop. Put in a new fuse: fixed.
Re mount the fuse box, put all the wiring back in place, and taped up. Re assemble the whole dash and console.. What a big opperation for a small problem.
Lesson: Check the fuses properly by removing them one at a time..