The performance and tracking are going to play a role obviously. Beyond that I'm not sure that genre would play a huge role.
To contradict myself here for a second, if you have something like a bluegrass outfit where you've got double bass, guitar, dobro, violin, banjo and mandolin, there are a bunch of instruments that don't do much to step on the other ones sonically. Banjo and mandolin might be able to do that, but in
a traditional setting they don't. The mandolin can chop on offbeats while
the banjo provides counterpoint. Once it's time to take a solo or whatever, the band morphs to put the center of focus on the soloist.
Whether this happens consciously or not in that context, it's in the realm of arrangement. That's an area where what you get depends on the interaction between
songwriter and producer.
The bluegrass example can be applied to any genre. Maybe not so much if you're getting into a doubling, layering, thick wall kind of production.
Given a rock band context with multiple guitars, what you end up with will depend on whether or not all the guitar players understand how easy it is to step on the other guy's toes and how to not do that, or at least do so in a way that serves the production and the song.
Once it gets to mix time, you're handed a bunch of
tracks. They gel and provide a clear direction. Or not. Purely from a mix perspective there could very well be problems. Many of the problems could probably be solved by applying better production values. At which point: are you simply the mix engineer or the producer?