"Can a fun run be gender affected?
Interesting to compare to park run, who say that they don't need to segregate any of their results by sex, because they are just a fun run, even though they provide a service by timing participants."
Parkrun certainly used to segregate their results by sex. They stopped doing this last year as women were complaining that trans-identifying men were entering the women's category.
Instead of restricting the women's category to just women they simply decided to take down all the category results from their website instead.
Here is a report from Athletics Weekly about it:
https://athleticsweekly.com/news/parkrun-ditches-course-and-age-category-records-1039975182/
But, to answer the question "Can a fun run be gender affected?" No, I don't think that they can in that sense (except where times are being recorded).
The quote from the DM was this:
Last night, an East London Mosque spokesman said: 'The suggestion that our event breaches the Equality Act is entirely incorrect.
'Single-gender sporting events are lawful under Section 195 and Schedule 23 of the Act, and are common across the UK, including the Women's Run Series, Nike Women's 10K, and gender-segregated swimming sessions at Orthodox Jewish facilities like Manchester Jewish Community Centre.
'The Muslim Charity Run operates under the same legal framework as these established events.'
They are likening themselves to single-sex women's timed events and also conflating this single-sex swimming sessions.
All very confusing.