Honkalculator 4000 for +1 Atk Axew vs Standard Eviolite Bronzor:
+1 220 Atk (custom) Superpower vs. 220 HP / 68 Def Eviolite (custom): 10-12 (40 - 48%) -- 0.39% chance to 2HKO after Stealth Rock
This doesn't count the Atk drop after Superpower so it won't 2HKO ever. Of course, Outrage does even less damage, so if you switch in Bronzor after it has killed something with Outrage, you'll be locked into it dealing even less damage than it would.
After the Superpower drop:
220 Atk (custom) Superpower vs. 0 HP / 0 Def Eviolite (custom): 8-10 (32 - 40%) -- guaranteed 3HKO after Stealth Rock
So~ let's asume 25 HP for Bronzor (it's the standard Smogon set) assuming max damage:
SR damage = 1HP
Superpower damage at +1= 12HP
Superpower damage at 0 = 10HP
Superpower damage at -1= 8 HP
1+12+10+8 = 31. Then you are at -2 Atk having just defeated Bronzor
Let's see what Bronzor can do as it's not very good to be sitting there just watching. Its common moves are HP Ice, Psychic, Earthquake, Flash Cannon or Gyro Ball, right?
4- SpA (custom) Hidden Power Ice vs. 68 HP / 0 SpD Eviolite (custom): 6-8 (27.27 - 36.36%) -- 61.55% chance to 3HKO after Stealth Rock
4- SpA (custom) Psychic vs. 68 HP / 0 SpD Eviolite (custom): 6-7 (27.27 - 31.81%) -- 4.05% chance to 3HKO after Stealth Rock
4- SpA (custom) Flash Cannon vs. 68 HP / 0 SpD Eviolite (custom): 6-7 (27.27 - 31.81%) -- 4.05% chance to 3HKO after Stealth Rock
4 Atk (custom) Earthquake vs. 68 HP / 0 Def Eviolite (custom): 5-6 (22.72 - 27.27%) -- guaranteed 4HKO after Stealth Rock
4 Atk (custom) Gyro Ball (66 BP) vs. 68 HP / 0 Def Eviolite (custom): 4-6 (18.18 - 27.27%) -- possible 4HKO after Stealth Rock
(4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6)
Sure, Bronzor won't EVER KO Axew; but now you are open to priorities or bulky 'mons who can withstand a -2 Outrage or Superpower, like Mienfoo or Croagunk or Misdreavus or... well, you get the point.
Or maybe the smart player hits Axew with a damage of LEAST of 4HP while setting up. If Bronzor, a pokemon with pitiful offensive presence, can do 4HP damage, surely you see this would likely happen.
Now let's see what outspeeds you at +1:
Common Scarfed 'mons: Chinchou (who runs Ice Beam), Misdreavus, Murkrow, Cranidos (I've seen it a lot recently)
Non-choiced: Drilbur and Sandshrew on sand.
Priority users: Prankster Cottonee with Cotton Guard/Stun Spore, Prankster Murkrow with FeatherDance (I agree, not so common), Prankster Riolu with Copycat for Outrage, Fake Out+Vacuum Wave Croagunk, Sucker Punch users, Mach Punch, Snover
with Ice Shard.
Now, what can a player do against a +1 Axew? Bulky Misdreavus can Burn it, common walls can Thunder Wave or Toxic it. Not in the switch but get a Physical wall in after it has KOed something and use a status move.
Sure, you can say Axew is a cleaner/sweeper but let me say that Scraggy is better with recovery on Drain Punch, doesn't rely on a move that neutralizes its boosts to destroy its counters, it won't be locked in a move that may confuse itself and has more bulk (both in HP and Defensive stats) to setup easier.
And even more: it has an ability that stops paralysis or burns (even toxic) to ruin the fun.
:It requires little to no support,reaches perfect covrage in 2 moves,has the best physical set up move in the game,Can sweep with little to no trouble,can OHKO/2HKO EVREY Pokemon in LC at +1.
Scraggy requires little to no support, reaches near
perfect coverage with just two moves, and perfect with a coverage move (Zen Headbutt for Croagunk, the only 'mon that resists Drk+Ftg in LC), has the best physical set up move in the game, can sweep with little to no problem.
The last sentence, as we've seen its not true for Axew, and its not true for Scraggy.
They're both susceptible to Revenge Killing except for one fact: Drain Punch on Scraggy lets it barely avoid some KO's.
Also, Deino is not popular and Eviolite Mienfoo is Bulky enough to survive a +1 Outrage at full health, so it wasn't a Bulkyfoo the one you OHKOed:
From Axew at +1:
+1 220 Atk (custom) Outrage vs. 0 HP / 196 Def Eviolite (custom): 15-18 (71.42 - 85.71%) -- guaranteed 2HKO after Stealth Rock
I'm not against Axew, but your arguments for it to be S-rank are wrong. Now for A-tier, Scraggy does the same job better and its A, so, logic says, Axew, being inferior, would be a lesser Rank.
In my opinion, it's not as good as Scraggy because it relies on a move that looses its boosts to past its checks.
Ninja'd ¬¬, that's what I get for being so damn boring.