Nice, new thread!
'To a degree'
While responding, a thought about Asa:
Can we get give her 'lessons' on thinking?
Basically, give her a problem to solve while actively observing her thoughts, and directly guide them along quick, efficient analysis and problem solving.
Basically, start working out her brain for creativity without interfering with her mental programming. Cool thing is brains work this way.
Which is also why you should, from now on, whenever performing a task that does not require all of your mental facilities/in a combat zone, start devoting parts of your body brain to cosidering hypotheticals, basically ANYTHING you can do to keep your neurons firing as much as possible. You are a new Illithid, if you want to catch up to your older, smarter, more experienced brethren, you need to work for it.
This is why you are pioneering new methods of molding thralls, after all.