I don't think you understand what everybody else who comments on the post is saying so i'll try to explain it in a different way.
Maybe if her W was more useful than just for the occasional last hit on a minion or attempted slow on an escaping target she would have a better early game.
I just took a piece of your post to compare to a few other adc's with similar abilities...
I copied and pasted some stats from the lol wiki website for said champions and I'll comment below each one and compare it to jinx...
W:
RANGE: 1500
SPEED: 3200
COST: 50 / 60 / 70 / 80 / 90 MANA
COOLDOWN: 10 / 9 / 8 / 7 / 6
PHYSICAL DAMAGE: 10 / 60 / 110 / 160 / 210 (+ 140% AD)
SLOW: 30 / 40 / 50 / 60 / 70%
DAYUMMM look at that AD scaling. pretty sick, low base damage. so looks like what you say above is true, her W sucks early game :( 10 base damage at level 1 is pretty low, not to mention casting time when compared to the slow which lasts 2 seconds. but wow 140% AD and 70% slow at max rank, rito nerf (or tweak) please.
W:
RANGE: 2500
COST: 50 / 60 / 70 / 80 / 90 MANA
COOLDOWN: 14
PHYSICAL DAMAGE: 50 / 85 / 120 / 155 / 190 (+ 50% AD)
(snare) DURATION: 0.75 / 1 / 1.25 / 1.5 / 1.75
This guy is played a lot atm so he is perfect for this sort of thing, But I'll stick to your comment for simplicity's sake... his W's base damage is higher, casting time is generally the same, but it has a snare which is admit-ably better than a 2 second slow (IMO). the major difference is the scalind AD that's 90% LESS than jinx. what I'm saying is you think Jinx is supposed to be a literal "Attack Damage Carry" from the beginning to the end of the game (or at least that's what I understand from your post) and she is supposed to scale into the late game. if her base damage was as high as Jhin's at level 1 she'd be ridiculously strong in the laning phase. Mana cost is literally the same, but I looked at their mana and mana regen... Jhin has more base mana Jinx has more regen I'd say its fair since Jhin can get 1 more full W out of his base mana and Jinx can get more in the long term. Not to mention the range difference (again IMO you are free to respond and tell me how dumb I am but please read my last addition to this response)
Q and W:
Q:
RANGE: 1150
SPEED: 2000
COST: 28 / 31 / 34 / 37 / 40 MANA
COOLDOWN: 6.5 / 6 / 5.5 / 5 / 4.5
ACTIVE: Ezreal fires a bolt of energy in a line, dealing physical damage to the first enemy hit, and applying on-hit effects. If Mystic Shot successfully hits an enemy, all of Ezreal's ability cooldowns are refreshed by 1.5 seconds.
PHYSICAL DAMAGE: 35 / 55 / 75 / 95 / 115 (+ 110% AD) (+ 40% AP)
W:
RANGE: 1000
SPEED: 1550
COST: 50 / 60 / 70 / 80 / 90 MANA
COOLDOWN: 9
ACTIVE: Ezreal fires a wave of energy in a line, dealing magic damage to enemy champions struck, and granting all allied champions struck bonus attack speed for 5 seconds.
MAGIC DAMAGE: 70 / 115 / 160 / 205 / 250 (+ 80% AP)
ATTACK SPEED: 20 / 25 / 30 / 35 / 40%
Alright I know I said I would stick to the W, but I figured that since Ezreal's Q and W feel so similar I might as well mention both at the same time. Not to mention that he is not in the meta atm. Ezreal is pretty well known for his mid-game carry potential and that he falls off late-game. I never thought about looking into why myself so I decided to check out his wiki page and see what's up. Ezreal Q: range is lower than the other two champions (thank god) but no casting time. and his cool-down is significantly shorter. The base damage is lowered to make up for that short cool-down (consider the Q's passive that reduces cool-down ontop of the short cool-down). 110% scaling AD is fair considering that (most) ezreal's that I see don't ever auto attack to take advantage of his passive and w's increase in attack speed - I am gold I am in noob tier -.
Let's move on to his W: range is short, cool-down is OK, not too long, not too short, mana cost is terrible, OH MY GOSH THAT PASSIVE. Yeah his W's horrible stats is made up for in his passive ^^ I hardly ever see an Ezreal actually use his E to jump into his own W to give himself that attack speed on-top of his passive. and finally the W damage is awful but, that's OK.
there. You got the response you deserved ;) please give me your feedback and your opinion since things like this generally aren't very clear and its my first time posting something like this.
sincerely,
a
main [slayer-pantheon-thumbs]