No idea about the insoles but they look quite substantial so they must have some effect on how you run. Certainly something to consider.
In another thread people were discussing shoe rotation. It sounds like you are using one pair at a time? If so I’d think about having at least two pairs on the go at any one time. It stops any hard, sudden change and lets you contrast the different shoes. So in your situation you might of introduced the Asics when the Adidas was roughly half way through it’s life and used them roughly alternating or at least both during a week. That won’t address the problem now but just a thought for the future.
I’d also probably do a bit less than 30 mins or 10k in brand new shoes. Ease them in a bit more if you are injury prone. I am.