You can do z axis neutral with front back y axis neutral. You can inspect the EO of a cube, and do as many Z, Z', Z2 and Y2 turns as you want without changing which edges are oriented. It would allow you to memorize the EO, then look around for the best pair of line edges out of the four possibilities, and then choose your Y2 rotation for best finger tricks or whatever.
I won't pretend to be fast with ZZ overall, I'm about ~15s and just do left square->right square->pair then OLL/PLL, but I am completely CN with it. I start by inspecting a random axis, and if I see more than six bad edges, I switch to another axis, and then once more if necessary, and I can inspect all three in ~6s. What I do then is look at a random line pair for the chosen axis, and if they're in awkward places I switch to another line pair, and so on. This doesn't take long with practice, and I rarely have a difficult EOLine as a result. Once the solve starts, I don't notice the think about colors because I've been CN with CFOP for years since I started cubing. That said, if you just stick to the same color on front and top, very strictly, you'll just end up good enough at EOLine over time that it won't matter, so the benefit is debatable. My point overall is that CN is possible, and if you find it to be more fun, do it. If you just care about getting fast and the idea of being CN isn't too appealing, then don't bother.