Honestly a "good" solder joint is crazy strong -- if you pulled hard enough, it should literally pull the copper trace off the PC board OR the wire should break before the solder joint does. (Although of course you don't want to try that!)
The enemy of soldering is what's called a "cold joint," where the wire moves too much while the solder is cooling. That causes the lattice structure of the solder to be malformed and subject to crumbling under stress or tension. The way you normally would spot this using normal 60/40 tin/lead solder is when the solder joint looks "frosty" on the surface when cooled.
Unfortunately the Phantom uses lead-free solder. This is great provided that you have a good soldering iron that gets hot enough to melt it (you probably need a 40W iron) and that there is enough existing solder to make a good joint. If you had to add solder, and you only have "leaded" solder to use, it will still work -- BUT the joint will frost over no matter whether it's good or bad. So you can't easily spot a cold joint.
The best tip I can give you is to watch the DJI video where they show soldering in the PMU-V2, or maybe even better, the video showing how to replace/install the new upgrade board -- just so you can watch how they solder on the wires. You need a good 30-40W soldering iron, ideally with a chisel tip (rather than a small point) because it's a large blob of solder. Put the new wire on top of the blob, and apply the iron to the wire, not to the solder underneath. Let the heat transfer through the wire to melt the solder. That way when the solder does finally "give," you'll know that the wire is already plenty hot enough to sink in and bond well. if your iron isn't quite hot or powerful enough, you might need to cheat a bit and touch both the solder underneath and the wire at the same time.
Insulation is purely that -- insulation from short circuits; don't try to rely on insulation to add strength to a solder joint. Properly done, it should be plenty strong on its own.
