Which is more important in transmitting the sound, the information...

For A) for max information transfer?

For B) for shaping sound?

This is too ambiguous.  What do you mean by "information transfer"?
And what do you mean by "shaping sound"?  I don't even know what those mean.  

As for "max information transfer", the information transferred is the same, so there is no "max".  I think you meant "max fidelity transferred".

As for "shaping sound", you probably meant "filtering affect" since every cable is a "filter" - for example a cable making the sound warm, neutral, upfront and so on.