That can't happen unless you are comparing RCA to XLR balanced which often have different signal levels or different gain/sensitivity (the equipment, not the cables), or unless a cable is defective.
I was sent on a campaign for just such a condition for Hyundai HD equipment and several Cat loaders. The material they used was aluminum with copper clad and it would NOT excite the sub amp via RCA cabling. They went to an all-copper conductor with rhodium plating over copper terminal ends for corrosion resistance. I was never dispatched back to those pieces of equipment for the same problem.
An upgrade can be as simple as the outside covering of PTFE or ARMOR (BTW, that is why it's called armor).
Size absolutely matters with bass response. The bigger the better to a point. If you have ever wired for an automotive car BASS competition, you will find out real quick what a smaller conductor will do if it comes loose or overheats. The vehicle burns right to the ground. I've personally seen it at least 12 fires at competitions and at least 4 burn right to the ground. .5 ohms at 30-50,000 watts, and a 30KW gen set to run the units is not uncommon.
Just because it's not common in the normal world doesn't make it so in the REAL world of competition or HD equipment. A set of 3-4 group 31 12VDC batteries will cause a hell of a ding dong with a bad starter motor coupled with loose connections. When cables get HOT, they get loose. That very much includes speaker cable to and from power amps to speaker drivers.
I have had more than one set of speaker terminals melt. The reason was vibration, causing the connection to become intermittent. Many times, the solution is to mechanically join the connections, solder, and protect/shrink tube with silicone jell shrink tubing. It's used all the time in marine work where salt and electrolysis are involved. The flimsy connectors with tin/aluminum conductors used in home stereo/HT systems usually can be replaced to provide better contact and a lot less trouble over protracted periods of time. One of the reasons I use 1/4-1/2 copper threaded lugs for bass speaker connection. A drop of blue Loctite never hurts, nor does a silicone blob to stop the nut from backing off.
1/2 of the speakers I repair are due to bad connections, either at the speaker terminals or the jumpers between sub/bass and mid/highs. Those cheap gold covered stamped jumpers can cause all kinds of problems.
Never underestimate the use of terminal enhancement products, either. They protect against corrosion and increase the contact surface area of any parent metal surfaces. They are required by LAW when using aluminum drop cabling from the pole to the house/shop main rails (usually tinned copper) in your home/shop/!
Tight is right, and loose will burn the house down.
Regards.