Crimp connectors and tooling are the wild wild west of electronics assembly.
Ever if you stick to genuine 1st world brands, public specs for the crimp dies are extremely rare, and it generally comes down to manufacturer X stating that the only approved tooling for their product range N is manufacturer Y's model numbers A, B or C crimp tool/die. Also, manufacturer Y usually doesn't offer a compatibility table for which manufacturers specific products crimp in a model A tool/die, so after investing $\$\$\$\$$ for the tool you are locked in to manufacturer X, unless you stumble across another manufacturer recommending the same tooling. Maybe things are better if you are buying 1000,000 units of the crimps, and they'll actually let you have the die specs, but that's not something I've ever been involved with. Frankly it all smells like an organized crime family to me!
If you are using tooling approved by the crimp terminal manufacturer with a (real) cable CSA within the specified range for that crimp terminal, and the terminal is specified for the metal of the cable, it should 'just work'. If anything's not as specified it probably wont. The only factor that's easy for you to control is the amount of copper CSA in the cable, as you can experiment by stripping or adding strands till you find the limits for a particular terminal and tooling, then buy cable with a CSA that's comfortably within the limits. However some crimp tools/dies will *NEVER* make an acceptable crimp on a particular terminal as they don't match the terminal well enough, and either squish it too much or not enough.