Your desire for only one brand to have synergy across the system
is unlikely to provide that to your quality components.
Except for cable companies that use magnets or filter boxes or liquid metal in their cables you are probably not going to find a 'house sound'
I build my own cables and do not understand how a cable company could ensure that all cables produced by them exhibit the same style of portraying the signal. Lets take for example single strand OCC solid wire which I like and use a lot. This is great for internal speaker wiring, interconnects and speakers cables but not easy, though not impossible, to use for power cables. The single solid core does not allow for a flexible joint and is subject to fatigue and failure which for a power cable could prove dangerous.
So a manufacturer might build using solid core wire for his cables except where he sensibly would choose stranded for the power cables and in doing so would upset the house sound. There is more to this but the point I am trying to make is that cabling from only one brand does not guarantee synergy. In fact it's more likely to prevent it!
Wiring a system is an iterative process. An example : you obtain 3 power cables to try and you find PC No.1 to sound best. Next you do the same with 3 different interconnects, make your choice and then repeat this with speaker cables and find now that there has been a big upgrade in performance.
Now just for fun you go back and re-listen to the power cables and now with the effect of the new IC and speaker cables installed you find it much easier to hear differences and perhaps resulting in PC No.2 to now be clearly the best and on it goes.
Good luck with your quest.
