Tony Vargas
Legend
You can't, there's no such thing as 'perfect balance.' There is, however, a vast spectrum of degrees of balance D&D has achieved over it's long history. That spectrum ranges from execrable through disgraceful, appalling, laughable, ineffectual, baroque, inadequate, perverse, etc, etc...consult your local Thesaurus... all the way up to bad, poor, indifferent, rough, and, arguably, even 'fair' for a minute or two there.As far as the balance thing, I don't see how you could possibly "balance" the game perfectly.
But 'perfect?' not ever even remotely on the table. ;P
Nod. You could start with a system that works consistently for some baseline, but, say, lacks flexibility and is not at all robust, and simply adjust it from there. 5e encounter guidelines are not such a system: they don't work consistently, even for some hypothetical baseline. In theory, BA should render such guidelines relatively robust to variations in rolled stats, system mastery, etc - in practice, it doesn't seem to help much. Maybe it'd be even worse if had it been designed with a different philosophy? IDK, encounter guidelines haven't been this weak since we first got them in 3.0...I've been running a home campaign and a couple of people got swapped out (people moving to a different part of the country does that) and I had to redo my expectations. Similar characters, same rules, new people that are fun to play with but not very tactical. Suddenly my "difficulty multiplier" when from 1.5 to 1.0 or a little less.
There's no way you can have 1 guideline for everyone, any guidelines are a starting point that need to be adjusted, tweaked, twisted and modified to fit your style and group.
The resource-pressure of 6-8 encounters can paper-over and average-out a lot of rough spots, yes. It's a good prescription to help make the game more balancable...I don't see how people could reasonably expect any formula that could take into account DM style, player tactical acumen, feats/no feats, differing methods to get ability scores, etc. Unlike a video game there are just too many variables, and even then most games have several difficulty levels (or adjust difficulty on the fly).
However, I will say that if you go with 6-8 encounters and don't have a gonzo group the basic guidelines are a decent starting point in my experience.