In general, more expensive cables sound better. Each company has a number of factors they feel critical in achieving great sound. They use them. Only in the case of low quality wires will you find a good correlation between the parameters you listed.
‘’High end cables use so many different combinations of materials, geometries and shielding you just can’t draw strong correlation. See Cardas cable site. They have great diagrams that show their approach.
But then there is the other problem. You have a unique system… any given… sets of three say $1K cables… they are likely to sound very different. I have had a set of $7K interconnects of a highly respected brand that sounded terrible between two particular components… when their othe cables sounded great. You must try them.
Finally there is your desired sound. The same set of interconnects in the same system may sound better to you and worse to the guy next to you. You like warm and natural and he likes detailed and flashy sound. So, you have to try them.
Also, you need to know exactly what your system sounds like before you go looking for interconnects. Everything needs to be broken in and you need a lot of listening time so you know how to make good comparisons and know when you found what you were looking for.
Finally the rule of thumb is to invest about 10 - 15% the value of your system in interconnects, cables, and power cords. I have never followed this rule, but over fifty years alway end up in that bracket when I have finished an upgrade cycle.