I want Elise to be an assassin with decent DPS

Is that too much to ask? She has %current and %missing HP damage. That sounds pretty assassin-like to me. She has her W for mediocre poke (like has his W and has his E). She has one form of CC with her Cocoon, which I would still say allows to pass as an assassin ( is an assassin with a 2 second stun, so I'll allow Elise her 1-2 second stun as an assassin).

There's just one thing I don't understand. Why was her healing nerfed recently? Now, instead of burst of HP, she very slowly somewhat gains HP in spider form. Other assassins with heals, such as the 3 I've mention so far (and others like ) all have heals in the form of one quick burst of HP, often situational. Kha'Zix must be in his W range, Rengar must use his empowered W, Yi is stationary during the time, and heals less if he has more HP.

And personally, I like the assassin approach of Elise. Her Rappel feels really assassin-like. You go in on a specific target in the range, and single them out. Feels like an assassin if you ask me. So what steps need to be taken to make sure she's an assassin?

1. More damage on her Q, in both forms. Not a lot, but a little bit just to give her the umph she needs to assassinate.
2. Rappel range increase. One of the coolest things about Elise in season 4 was how you could use rappel to pull of sweet gank routes. If you timed it right you could rappel up behind the enemy bot (red side) tower, use use the minions as a path in rappel to get right between the enemy bot lane and their tower. This was cool and unique, and took a decent bit of skill and knowledge to pull off. If anything, make it so the range scales up with points in E. So at level 5 it goes back to its former glory.
3. Decrease stun time. This is actually already being done with the most recent change to make it a constant stun time at all levels (as opposed to scaling up).
4. Decrease transform time. Elise is highly reliant on switching forms. But right now, her human form is so damn immobile. So often, when not fighting, you walk around in spider form, but you need to start a fight in human form, for the stun and %current hp damage. Then you need to be in spider form to all in and use your %missing HP damage. But if you were already in spider form, you will often need to wait a few seconds to go back into spider form. One way to fix this would be to give a small reset system (similar to Nidalee's) when she hits her Cocoon.
5. A Jayce-like change so she doesn't need to put points into her ultimate, and instead gets 6 points in each ability.
6. Revert the recent heal change. She actually heals less now. You successfully nerfed Elise while trying to buff her. Just a nice little touch because she is kinda supposed to be the queen of the jungle, especially with early sustain. In season 4 she could start with Doran's Blade instead of Machete because her sustain was that good. Right now, she has less sustain than Ekko. He wasn't even supposed to be a jungler, but his huge fucking shield and stun give him more sustain than the former Queen of the Jungle.