You do not have to address every single point in the person specification individually - you can summarise and use language in an elegant way that will make you appear more intelligent. If you have a CV with a logical structure and sequence that fully reflects your abilities it will probably stand as it is for any application you make in your field. That is why when the CV is originally created it needs to express all the functionality and achievement in your career. The originator of that wrong advice making everyone panic was probably a recruitment consultant 20 years ago who was sick to death of boring and irrelevant CVs. It doesn't apply to you, today, because you won't be making dull, conventional and information-starved applications.
Recruiters can be very sophisticated individuals.
There is no need to second guess them. Just lay out your case in a mature way and let them exercise their professional skill to assess what you have to offer. Be human to them and they will be human in return.