Well, I guess that's the point. You might not be able to get her consistently back down where she needs to be. There is obviously some reason she is doing this.
I thought about this a while last night because, as I said, I've seen another cat do this recently. I have also had Gracie do the dive/bounce thing on me of late but nothing like what you are seeing. In the past, I've taken her dose down to flatten her out in high yellow and then raised it but she just started the dive/bounce again. For Gracie, the remedy is to increase the dose but she was not getting into the low numbers and bouncing as high as Autumn and that's why I think that there is something else at play.
Just for your consideration, there are three other options and two arent great but ....
---test more and feed to manage the curve so she doesn't drop. For instance this morning, she came down a lot from last night so I'd test and feed a higher LC food to try and get her to slide instead of dive. Try to prevent those huge drops with food or even karo if you have to.
---I've seen cats look like this that are actually bouncing off the insulin. You stopped her insulin but I'm not sure you stopped it long enough. i know she is prone to ketones and that's why this option makes me nervous but if you test twice a day for ketones and watch them and maybe have some R handy to shoot the high numbers down
if she shows ketones you might consider stopping insulin but give her at least six cycles for the depot to totally drain and clear the bounce. Take a look at
Tuckers SS and you can see it took more than six cycles to clear the bounce.
---consider an insulin like compounded PZI so you can dose based more on PS with consideration of nadir and you won't have to deal with the kind of depot action we get with the Ls.
I know you didn't ask for my opinion but I just saw Autumns numbers and thought I'd just offer some other thoughts.
You know I wish you the best with her in whatever you decide.