That’s right, desolder current wire and switch the location just like your picture. You can use thicker wires if you want, but I recommend you try one thing at a time.
Read Attention! Solution for most of those next mode memory drivers! for more info on removing next-mode memory.
Yours uses higher resistor than mine, yours are 2.2 / 4 = 0.55ohm whereas mine uses 1.5 / 4 = 0.38ohm. So that may explain the difference in reading and not caused by battery.
But after mod, you should get around 1.5A anyway since the resistors are bypassed.
As for ebay, you can always pick those seller with free shipping, no problem. My purchase prices above are all final prices. But nowadays after the nutty China shipping issues, everything’s gone up, most likely because everybody has been filing Paypal claims for delayed shipments. 