Nothing new, I soldered the 120R resistor directly on the LM317 pin and I've got the same behavior. I'll post the new layout here in the next few days. Any idea before I definitely drop this one?
Then I do not know what you are doing wrong. I have made current boosted regulators, that with the proper layout, handled 10 to 20 amps with excellent load regulation. Voltage drop was completely explained by wire resistance.
Current boosted designs have the advantage of routing most of the current around the regulator, but I always ran the regulator at close to maximum current anyway for best stability and thermal protection.
Is the regulator genuine? Maybe the regulator is defective.
If load regulation must be better, or at precision levels, then a different circuit like the single operational amplifier remote sense is required. I like a modern implementation of the circuit shown below, which also replaces the integrated reference with a better one,