There are a lot of different criteria that can be used to select med students. You do not need to tick them all. You just do your best and then consider who is most likely to offer you a place.
DD had a miserable UKCAT and no BMAT. However she is practical and had done a lot of volunteering (care home for a summer, helping with swimming for the disabled - and then fundraising at her school for it etc, none of which needs family connections.) She did some work experience but oddly it was a couple of doctors who I knew, albeit not very well and via the school run, who offered as they were aware that such w/e could be useful and wanted to encourage a younger generation into medicine. DD was also prefect, played County level sport etc, but that is the sort of person she is, and what she will bring to medicine.
And yes it was almost certainly her PS that helped her gain a med schoolplace. But then she applied to med schools that were clear that they put a lot of emphasis on the PS! If she had a decent UKCAT or had taken BMAT she might have applied elsewhere.
FWIW, the course suits her. It is quite hands on and seemingly very different to courses contemporaries are on in Cambridge and Imperial. And from what mumsneedwine describes, very different to her DDs course.
It's fine. Some medical roles require people to be super academic, but not all. DD is dyslexic (hence poor scores on timed tests like UKCAT) but has a very good memory and learns best by doing and observing.
On the PS I think she explained her interested in medicine and used her volunteering and work experience, and indeed personal experience (she was the sports injury queen) as reasons why she had the interest or evidence for desired skills and aptitudes. If you know the PS will be scored as part of the assessment process, my advice is to look on the website and read the desired attributes closely and then make sure you have covered each and every one, and have evidenced them.