Noticed that as well:
The approach plate now behaves like a map: sectional or low Enroute. In most ways it is good. This is the whole point of having a go-referenced approach plate. In the case descried above, it is a distraction during one of the most critical phases of flight. I am sure if the option to follow the plane is turned off, it will stop doing that, but then on regular maps, where this feature is quite useful, it will stop doing following the plane as well. Turning this feature on and off manually throughout phases of the flight is possible, but distracting.
I am sure that different people came up with slightly different "approaches" for working with iFly approach plates. What I usually do is after reviewing the top portion of the chart during approach preparation, I pan and zoom in so I can see and READ the relevant portion of the horizontal map, vertical profile, missed approach instructions, and minimums. Once the chart starts moving around on its own, it does get very distracting even if you expect it to do it. If you forget to turn off the follow plane option, after passing the final approach fix would be the worst time to try to do that.
Approach plates and airport diagrams depict a very defined area of space, so my preference would be that the follow plane option is disabled on all those.