The test results above were Continuity Tests. Are you meaning you want me to do Resistance tests or Continuity tests?
Well, no, I don't want you to do the tests, you want to do the tests for yourself so you can find out how the switch works.
What you want to do is to find out what is connected between each pair of switch terminals with the switch in either position. Is it a closed switch, an open switch, or a lamp? You can do this with a continuity meter, a resistance meter, or a battery (to power the lamp). You probably need to use some combination of these to get the right information. For battery tests, use a small 9 V battery so you don't burn out the switch contacts if there is no lamp there.
It sounds now as if you mean Resistance tests. When you said "On or Off" that sounded to me as if you were requesting continuity tests. My apologies if I misunderstood.
Ok, re-doing the tests using the meters OHMS position
Power-ACC, ON, 24-50 ohms
Power-ACC, OFF, OL
Power-GND, ON, 52 ohms
Power-GND, OFF, OL
ACC-GND, ON, 21 ohms
ACC-GND, OFF, 1 ohm
So, OK, the first one does not seem right. When the switch is ON, Power-ACC should be a direct connection, not a high resistance connection. If you connect the 9 V battery between the Power and ACC terminals with the switch ON, does the lamp light?
The last one, on the other hand, seems to explain the fuse blowing. 1 Ohm seems like a closed switch, which would short out the battery.
Have you by any chance got the Power and GND terminals mixed up?
Of the six combinations you listed, which one makes the lamp light up with a small battery?