Personal statement content for a Cambridge maths application

Hello, I will be applying for mathematics at Cambridge this year. It is to my understanding that they solely look for mathematical ability, which can be demonstrated by super curriculars, however I was wondering if some are more favoured than others e.g Something more independent like working on proofs or Something more outward like maths competitions. Currently I have these in my PS

- Invited to an online Oxford maths and Physics course and re-invited this year
- Did a Lancaster residential which included doing academic research + a lecture style presentation of said research + a bunch of uni-style stuff
- Talked about The great mathematical problems by Ian Stewart
- Looked into complex analysis + gave a presentation on it to my class
- STEP practice and the like - Mainly about AMSP + Support programme
- Done a couple of competitions, I talked about them

I was worried, because reading other personal statements they all have these more grand things on them, but in all honesty I like looking into and working on maths, but I never felt the need to do things when I was young, because I love the problem solving part of it and finding out new things, but most people I have seen talk about going out and doing all these things since they were young, but honestly I just love learning about it, so I have only done stuff for my PS this year and the summer before after Y11. My grades are all good and fine, but I am worried my PS might let me down, is there anything they look for in particular and should I try and do anything else differently?