PKenn, I worked as a teacher in two of our local secondary schools for many years, and I'm still a governor at a school in an adjacent borough. My own children, nephews and nieces have attended several local schools over the years. The one thing I have learned is that schools can only be good when they have a strong and inspiring senior leadership team. Of course they need good teachers too, but they will only be attracted to the school if the senior leadership is good, and they will leave in a heartbeat if that turns sour.
Those good strong leadership teams also need to be supported by good strong advisors and governors. It's the quality and teamwork that matters, not whether they come from the local authority or an academy trust.
In the past, when schools were judged by results only, rather than by pupil progress, there was an inherent disincentive for good teachers to work in schools where pupil backgrounds were more challenging. Thanks to changes in the way schools are measured, it is now possible for all schools to shine - poverty and related factors can no longer be used as an excuse for years of under-performance. Turning around an under-performing school is still very difficult, but no longer impossible. There's a clearer formula - get your leadership team and policies in place, replace poor teachers with good ones, concentrate on making sure all groups of children are making progress from their starting points (the low attainers as well as the high attainers) and gradually win back the confidence of local parents. All of that can be done whether you're an academy or a maintained school - there have always been good local authorities and bad ones, and now there are also good academy trusts and bad ones.
It is simply not true that "schools in LEA control are more likely to deliver outstanding results than academy led schools (research backed)". You are perhaps being selective in the research you are referring to. Do you have a political bias perhaps? The real picture is much more complex - this website sums it up reasonably well: fullfact.org/education/academies-and-maintained-schools-what-do-we-know/