Yes, you have identified it correctly
And we know about miracles, don't we
But, I do believe that some of the power cables supplied with audio equipment can be improved upon.
How and why?
If you think the designer didn't design the power cable properly, a simple task, why do you even bother with that company in the first place? How would they be able to design the rest of the circuits, more of a challenge, if they cannot design the simple cord properly? Run, don't walk, to another maker.
But, in rality, most are designed properly.
My Yamaha RX-V2400 came with a very cheap looking, thin 18 gauge, unshielded power cord.
Cheap looking? How does the look affect it capability? It doesn't.
Is that 18 ga, if it is that thin, sufficient? That depends on the power cable's length and the currewnt it is designed to handle. Yamaha knows how to design properly.
Do I hear a difference? No. Am I hoping that the 14 gauge cable is less restrictive than the OEM 18 gauge, yes.
Yes, 14ga offers less resistance and less voltage drop from the cable.