Nobody should start a sentence with "Research says that ...' without providing a reference.
It is obvious why there is a correlation between outstanding grades and good results - pre Sept 2019, under the previous inspection framework, only schools that could demonstrate outstanding progress could get an outstanding grade. This has now changed - ofsted gradings have now been decoupled from exam results. But relatively few schools have been re-inspected since the change was made.
Since Sept 2019, the inspection framework has focussed on curriculum quality, behaviour and attitudes, personal development and leadership. There has been much coverage of the fact thst many previously outstanding schools have been downgraded to Good or lower, but less coverage of the fact that many previously RI schools, with a disadvantaged intake and lacklustre results have been upgraded to Good. There is one in my area, which has never been better than "RI/Satisfactory" under previous frameworks, but is now Good. But it also has a passionate head who was working hard to improve the school's local reputation. That is the key ingredient - schools need special people to take risks on them, and teachers are often as wary as parents of doing that. A young person I know, who will no doubt be a fantastic teacher, recently finished her "Teach First" training working at a school with a deprived intake and walked straight into a new job in an outstanding school in a leafy area. Why wouldn't she? There are no financial incentives to work in deprived schools, so unless teachers are especially noble, they will always look at schools with a similar eye to parents and pick the ones that either seem most successful, or catch their eye for some other reason. Ofsted judgements are one part of their research for that decision. So even if a Good/Outstanding judgement is out of date, or plain wrong, it can have a positive impact on bringing teaching talent to the school, making it more likely that they will retain a positive rating next time. In contrast, RI or inadequate schools will lose talent and not attract new talent, so their negative grade becomes embedded too.
OP, I hope that when your school is re-inspected it scores badly on the Behaviour element at least!