First off I apologize for getting aggressive. Didn't mean it

With all due respect, I would say that having Magic 1 does not make you an adept, and rather succinctly proves my statement of "Adepts essentially cannot hit the bonus 4 in Strength."
Which brings me to the next problem; at Skills D, you haven't just "narrowed down" what you do, you've made what is essentially a one trick pony. Again, the lion's share of your resources go into "match a weapon that costs 3k nuyen." This is, I grant, a way to be an adept AND hit Strength 4. However...now what?
This is sorta my main point to this. Capping strength isn't casual. It takes a lot of resources - and the end result is exceedingly mediocre. Guns don't require any off those resources, and benefit from cover, range, and smartguns. Bows, sure, they gain those benefits too - but they still require an incredible amount of resources.
Let's look at what this has cost you. First off, you have to put Resources into C, then Skills at D, so that's no Edge for you. I know this started as "Even a HUMAN can..." but it seems more like "ONLY a human can..." to me. This essentially sets up that there is only one way to manage this. And while I'm sure others will say I'm being dumb, I think something is legitimately lost when the only way to make a kung fu adept or true warrior of the blade is to take a blow to your Essence. That's something that
never sat well with me in SR4.
Secondly, those points in strength must come from somewhere else. That means lower body or lower will. Or maybe lower initiative and dodge from Reflexes and Intuition. Or maybe you lose Logic and with it your magic defense. Or Charisma, but hey, you said that one isn't a dump

. Putting points in strength objectively makes you weaker in
some other field, and it does so by a large degree. Most character I see tend towards 2-3 Strength, so that's 3-4 points lost: the difference between A in Attributes, and B in Attributes.
And once more, your worry at the start was that strength is too powerful because it "double dips." I contest this: it has two skills, effects recoil to a very small degree, largely builds physical limit, and grants melee damage. If you did not care about melee damage, how far would those two skills and small recoil effect sway you? Over your main attacking stat? Over you initiative and dodge stats? Over Logic with it's giant list of skills and it's magic defense? Over Charisma? I grant that the physical limit CAN be a biggie (one of my characters, a B&E/Face, did indeed have to take an advantage to raise her's), but I maintain that strength is not only far from being super important, it is one of the
least important to all but melee/bow characters. And the end result is, as you said, "assault rifle damage." Well, what stops me from tossing down 3k nuyen and grabbing an assault rifle?