The 'always on' lamps are called general illumination (GI). Are the lights for the backglass and coin door still on? They run off the same circuit. Check for continuity from the red wire there back to the rectifier board, and check the fuse + test point on the rectifier board

Looking at the schematics those wires should be going straight from the playfield to J1 on the rectifier board. Try to trace the wires back through the wiring harness by hand to the pins, and then check continuity from the end on the playfield to the connector. I assume J1 was one of the connectors you checked, and it looked fine?

Could be the relay on the SDB regarding the non working flippers. Hold the flipper buttons in while you turn the game on.They should move some for just an instant.

Voltage at the flipper coils?

That doesn't seem right. Should be DC, about 43V

Can you hear the relay engage when you start a game?

They should be the same voltage so maybe there's a bad solder somewhere?

Did you replace the EOS switches on the flippers with new?

I've never heard of a coil that you're specifically not supposed to solder.

I'd be surprised if that voltage would stop the flippers but it signifies that something isn't right, so can't hurt to fix it, and maybe it'll fix the problem too.

As Xenon says, it could be the eos. Try jumping a wire across them and see if it affects anything

No, wrapping the wire around is not a solid electrical connection - it's a good mechanical connection, but you need to solder the wrapped wire for maximum current transfer and permanence.

Did you try briefly grounding the trigger tab of the coil to see if it fires? That will tell you A) that the coil works B) that your "power side" supplying the coils is sufficient - thereby splitting the circuit in half of what needs to be troubleshooted.
http://stevekulpa.net/pinball/bally_flipper1.htm

Flippers don't fire during coil test

You have/should have a 1 amp slo blo fuse under the play field somewhere close to the the flippers. Is there power coming coming thru that fuse? Is that fuse blown?

Per the Bally service schools; Hold both flipper buttons in when you start the solenoid test. When the relay engages via the transistor that turns on; the flippers should briefly fire.