"If a system is scattergun, and records are kept in multiple places, or not at all, people who may need to cover or even the DSL themselves can't find them, that's when things can fall through the gaps."
@givemushypeasachance obviously this is true generally, but there is no evidence that this was the case at this school. Ofsted uses stock phrases in its reports which can make things sound worse than they are.
Every year, every member of staff from the Head to the Cleaner needs to have a safeguarding training refresh, and record of that training needs to be in the register. If those records aren't complete then it can result in the paragraph "Some staff have not had the necessary training ..." and if the Head or CoG didn't know about it, or tries to defend it then it can result in the paragraph: "Leaders have a weak understanding of safeguarding requirements and procedures ..."
The "required employment checks ..." paragraph probably wasn't as obvious as a missed DBS. It is usually that a staff member has worked abroad some time in the last few years, in which case extra checks need to be made.
The Ofsted commentary would be the same if it was one member of staff or 20, so it's difficult for a parent to understand the seriousness.
In any case, nobody is arguing that there weren't issues with safeguarding records - only that it didn't warrant an otherwise good school being given an overall judgement of "Inadequate". It is too blunt a tool.