Poorly built and cheaply constructed cables can cause some problems in terms of static, noise rejection, etc.... and you'll notice that more with a long cable run with a passive bass. With a decent mid/upper tier cable, (Planet Waves, D'Addario, Mogami, even -gasp- Monster Cable), you won't notice much if any difference in tone per-se, especially if you're using an active bass. The major differences are reliability and durability over the long haul. I have a lot of different cables in my stash. I've posted before that I bought a few Monster Cables in the late 90s when I started playing because a recording engineer that my band worked with had some, and I liked how they were constructed. I knew nothing of the 'hype' as a young musician. They just worked well and seemed built well. I still have and use those cables to this day. They've never failed me. A different Monster Cable speaker cable I bought years later failed once due to a manufacturing defect in the plug end, and was replaced no questions asked by a local music shop, per the lifetime warranty. To me, that was worth the slightly higher price I paid for the cable(s).
I look at cables the way I look at tires on my car. You get what you pay for in most cases. Reliable, well-built tires made from quality materials will last longer, perform better, feel better, usually have some sort of substantial warranty, and justify their cost long-term more than buying cheap tires will. I've been down that road as well. YMMV (pun intended). A good cable is your only connection to your amp or DI box/console, just like tires are your only connection to the road. Get the best you can afford without going overboard.