Here are a few more things to try:
1. Verify that all four turn signal bulbs are the proper #. A mix of 6 volt turning bulbs will cause the flasher to blow, function erratically, flash dim or flash slowly.
3. Check the flasher. If it does not look physically new (signs of corrosion, rust/oxidation, dents, etc) replace it.
4. I am assuming that you already used a mirror, night time (dark) or another person to verify that the turn signals are not flashing with the key on. If you have not, check this for the record...sometimes the pilot lights or the voltage regulator ON THE INSTRUMENT PANEL (not the one under the hood) goes out causing an incorrect reading or no function.
5. There are additional tests that can be performed and are listed in the 1951 Kaiser and Frazer factory Shop Manual. The directional signal wiring and components for an EARLY 1954 Special (1953 Kaiser interior, speedo, back window, etc) are the same as used in a 1951 Kaiser...only the turn signal plastics and chrome housings are different.