...But
By using the power/signal wire that goes to the stock relay (TRSM Page ST-12), you would then bypass the stock relay and associated wiring (pay attention if using stock alarm). You would use the signal/wire coming from the ignition switch (ST1). This mod uses the signal/output of the stock relay (#4), which is what Dan's point is. U are just using a weak signal to drive another, but with all of the other pieces (potential faults) still in place.
Basically you need to replace stock components w/aftermarket (or new)... You could argue about fixing this issue all day long, but in the end (after sitting on the side of the road or being late for work too many times), you just want the bitch to start, when you turn the key.
I am getting ready to revisit the mod, since I did it and it worked great, until this latest rebuild. I moved the new relay into the cabin, near the ECU. Now, I can hear/feel the relay trip, but somehow the signal/juice is not enuff to turn the starter (tho it did fine, until recently). I ordered a bunch of wire and a distribution block to do something fancy with it. I believe I need to get closer to the ST1 signal from ignition and bypass any other relays, etc. Basically replace the entire circuit w/new relay & fresh wires.
In the end, there's some flaw in the starting circuit which many of us could not overcome (relay, wires, alarm, or combination of all). There's only been minor success with just replacing the relay and no one has truly documented the root cause/fix... which is why we have this mod (work-around).