This is really hard with not being able to see the bike, just a thought though, try reversing the wires on the flasher can, some bimetal flashers only work with current going the one direction. The picture of the hand piece does show it is clean inside, but the contact itself is way up inside there where the wires go to, so the contacts may still be burnt, one easy way to check this is make sure you are getting 12v to the flasher can, if you are, rule out the switch as the culprit for the time being. The other thing I thought of, do the new flashers have running lights in them, if they do then you may have 2 powers going in and earthed through the case, check for a twin filament bulb. To be honest I'm starting to run out of ideas. With wiring up the load equaliser, it doesn't care where in the circuit it is placed, you can even hook it up to the wires for the rear indicators, it needs to be run in parralel, if connected in series they will increase the resistance in the circuit, make your problem worse and not provide the additional current draw you are looking for, basically think of them as another bulb in the circuit that doesn't light up. Hopefully we can nut this out, because it is really starting to intrigue me.