Most assisted by lag:

S Tier:
Vanessa
Shun
Eileen
Kage
Lau
Pai
Sarah
Jacky
Lion
Blaze
Lei

A tier
Brad
Jeffry
Aoi
Akira
Goh

Z-Tier
Wolf

You missed Goh, Krye

what about "best use of advantage" ?

That would be the same as punishment, no?

Well you can't really "punish" anything with between +1 up till +9 (unless you are Vane and have 3P in DS!)

I guess in a way I'm asking who has the most powerful flow charts.

whoa, brad in A? i think brad is at the top of this list.

lei is definitely A-S tier in distance. He has several options for distance. Arrow punch can back stagger a FDHT techroll in either direction. He has a roll forward that u can do a his k combo for good damage/catch throw mix up. And he can easily create space quickly with stances to create whiffs. And 4p+k,p is a really easy punisher to use on whiffs, and hit tracks. 33pp has great distance and hit tracks. 66k+g full circular mid, great mix up options. Combine a forward dash on this 66,66k+g and it becomes effectively mid-long distance. I would put lei in S tier for distance.

Throw Game | Punishment | Damage | Okizeme
personally for leifei
Throw game B He has two throws that u combo 60 to 72 dmg varies by character, and 3 step throw for 60 something dmg,3p+gfor 50/50 guess on light down attack or om to the head to setup oki and 64P+G can setup very good oki with ura koko stance
Punishment A pp for -13f.43p+k, 66p, k, k+g for -14f.i think 3k, 2p+k and 43p for -15f. 9k+g, 6p, 6p+k, 3pp for -16f. 9k,66p+k and p+k for -18 many options but few knock downs,many stagger moves,2 great ones for combos
Damage S very powerful near wall. most of his combos on ch does 65+ dmg without walls
Oki S his moves from stances are very powerful during opponent getting up or rising k. i only scratch the surface with it and trying to perfect it.its no wonder no one gets up against lei lol

I'm not familar enough with all the characters to do wall game but I think Wolf is definitely up there if not at the top.

ring out ability for open and half fence stages.

S = Akira.

46P+G up against the fence and everyone goes out. Add to that, I think pretty much everyone will get floated over the fence if they are one character distance away and get MC'd by SDE, KNEE, Doublepalm, and, maybe, YoHo.