A few here are talking artistic balance, vs. challenge balance.
I wrote about challenge balance years ago. It started with the phrase "All things being equal." And, all things being equal, meaning if there are 18 good holes on either version of a potential course, I prefer one with a balance of challenges like dl left and right (if possible, in different facing winds, pars, etc.) over a course without it. But, the key is to have the best 18 holes AND a balance of challenges spread throughout the course.
I mean, if all 18 holes were equal as individual holes, would you prefer back to back par 3 holes, or a mix? Prefer a sequence of long, short, medium in 3 par 4's in a row over long, long, long? (Or, short, short, short?)
Balance is tied to variety and rythm, and I believe these are important to a golf course.
Sincet TD mentioned him, I recall a discussion where the knowledgeable Tour Pro consultant ranted about Fazio's insistence on placing a fw bunker left, because the previous hole had one right, even though they missed a perfect opportunity for one to the right on a specific hole in question. So, in that case, I think I would have accepted two holes with fw bunkers right (I got the impression they were both merely flanking bunkers, not one carry, the other flanking or pinching).
I have all those charts where I can count those balance factors, but find that I gloss through them once. I might catch a few things that changes my mind on a design, but more often, I go with the gut feel of what makes the best hole, feature wise. As noted above, perhaps my concept of balance is more stringent in routing, where I try to mix up holes and yardages.
And, there are some practical reasons for it. I have heard some TPC courses are balanced with similar holes at 1-3 and 10-12 since competitors start on both nines. After that, it doesn't have to be a perfect match.