Prem,
I genuinely wish that an all Liveline cable approach would make your system work in the optimal and best way.
I confess that compared to folks like you, I have very limited experience mostly because I have had to work with a limited budget. However, within my limited scope, I have observed a few things.
Assuming that the cables are otherwise satisfactory, they provide a certain voicing to the sonics and hence their choice will depend on the synergy and complementarity between the CDP and the amp and then between the amp and the speakers, depending on the tonal balance the listener is after. If the electronics (CDP and amp) and speakers are generally from different brands, it is not likely that all power cords, ICs and speaker cables from the same brand will necessarily work in the most optimal way. There is of course a chance of that these will work out in the best way. But if my understanding is correct, this will be more an accident than a logical conclusion.
Regards.