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Use an incandescent test light clipped to a good bare metal ground and probe the two socket contacts for the hazard flasher. The contact labeled 140 in the diagram posted previously should be constant B+. Does it illuminate the test light?
Use your test light to probe both terminals of the STOP/HAZ fuse socket in the fusebox with the fuse installed. Actually probe the fusebox terminals, not the blades of the fuse. Do both terminals illuminate the test light?
What? That's not right! Post a pic.
Okay! So, here's what you do. First, throw that fuse in your pic away! More than likely, the fusebox terminals are contaminated with dirt and/or oxidized. If contamination is light, you can spray the blades of a new fuse with WD-40 and repeatedly insert and withdraw the fuse to burnish the fusebox terminals, which may be sufficient to restore continuity. If the fusebox terminals are grossly contaminated, you can scrub the terminals by smearing a light coat of fine-grit valve grinding compound on the blades of a sacrificial fuse and perform the same technique as described previously. Then finish up with a thorough WD-40 rinse to wash away the abrasive. If the fusebox terminals are too distorted due to excessive heat from poor connection, or the effect of that "twisted" fuse in your pic, replacement terminals are available.