I mostly use archery in the open and one-handed in CQC on my thief.
Yes, this.
Also, pickpocket is really quite powerful once you've leveled it (shame on me for save reloading constantly at low levels) as it results in having so many lockpicks that the lockpick skill is pointless (it is pure convenience... faster lockpicking is the only real benefit) and you get to disarm a lot of opponents before you really have one hit kill backstab ability (on Master difficulty without the shroud gloves).
I really like the dynamic of using archery in the open or at long distances in bright/big interiors, but relying upon stealth kills dual wielding indoors/close quarters. Combine this with alchemy and it is a lot of fun. I've always been a hoarder of potions in other games, but I'm able to craft so many good poisons and buffing potions with this character that I'm chugging them constantly to give myself an edge.
I keep a tank companion with me kitted with enchanted ebony armor in order to hold dragon aggro on the ground while I stuff them full of poisoned arrows. Sometimes feels like cheating as my companion feels a bit overpowered to be able to go to to toe with a dragon for an extended period of time with no healing on Master, but that is a structural game mechanic that I find it hard not to abuse. Could I run around for 5X as long chugging potions and slinging arrows to kill every dragon, yes. But, why bother when my companion can just hunker down with a shield and take a swipe occasionally while I finish off the dragon?
This is my first play through so its hard for me to judge how much I'm abusing the companion model, but at level 47 I'm starting to feel like the game is becoming too easy. With Sanguine (ability to summon a powerful ally) and a tank companion... there really isn't much I can't handle. Add to that the Nightingale powers and some of the equipment I'm going to add from Dark Brotherhood and I'll be ready to pretty easily solo as well. Especially once my alchemy skill is capped.
Shorter answer to the original question though is, in my opinion, both. Mostly for added fun and diversity of game play based on the situation. I think both would be critical if soloing and honestly, the perks you'd save by not investing in archery or one handed would make you even more overpowered if allocated to enchanting or illusion or something else.