First off, the fuck are you talking about with her attack speed? She has a pull and a 2 second, 40-60% slow, in addition to dash. She has no issues staying on top of her targets. Hell even if she couldn't do that it's god tier for pushing, since being an AP champion with high attack speed means towers just melt.
Second, she does have survivability. 180 (+.6 AP) (+.2 HP) worth of shield, plus a disable, plus the fact that if anybody survives long enough to fight back you're doing something wrong.
Third... so a champion with a long range dash, the ability to clear the jungle quickly, and tons of early burst damage is a bad jungler... ok sure buddy.
And then there's the idea that Diana does less damage for "80% of the game".
Level 4
Old
- 35 (+.8 AP) Passive
- 95 (+.7 AP) Q
- 66 (+0.6 AP) W
196 (+2.1 AP) damage.
Assuming 33 AP from stat shards and Dorans Ring (since apparently she's a garbage jungler, lul), that's 265 damage, with no gap closer to enable use of P or W.
If you put a second point in W instead of one in E, you can bump this up to 296 damage, but you still don't have a way to use it.
New
- 35 (+0.4 AP) Passive
- 95 (+.7 AP) Q
- 66 (+.45 AP) W
- 80 (+.8 AP) x2 E
276 (+2.35 AP) damage.
Assuming 33 AP from stat shards and Dorans Ring, that's 364 damage, and you have the means to use it.
Level 6
Old
- 55 (+.8 AP) Passive
- 130 (+.7 AP) Q
- 66 (+.6 AP) W
- 200 (+1.2 AP) x2 R
351 (+3.3 AP) damage.
Assuming 50 AP, that's 516 damage. Cool.
New
- 55 (+.4 AP) Passive
- 130 (+.7 AP) Q
- 66 (+.45 AP) W
- 80 (+.8 AP) x2 E
- minimum 200 (+.6 AP) R
531 (+2.95 AP) damage.
Assuming 50 AP, that's 679 damage.
Level 11
Old
- 120 (+.8 AP) Passive
- 200 (+.7 AP) Q
- 138 (+.6 AP) W
- 320 (+1.2 AP) x2 R
778 (+3.3 AP) damage.
Assuming 150 AP, that's 1273 damage.
New
- 120 (+.4 AP) Passive
- 200 (+.7 AP) Q
- 138 (+.45 AP) W
- 80 (+.8 AP) x2 E
- minimum 300 (+.6 AP) R
838 (2.95 AP) damage.
Assuming 150 AP, that's 1280 damage.
That's basically the entire early game covered, and Diana just does more damage in the entire thing.
Later than this, sure. A 1-man ult is going to leave you doing less damage than old Diana, but it is really easy to land 2-3 man ults, and if you can perform that basic task you blow old Diana out of the water even in later fights.