But won’t women always have tested more than men?
Yes, and men have (in the young age group) consistently had lower rates haven't they? In the older age groups it balances a bit more, possibly as the older men are more likely to have worse symptoms and possibly more likely to live with people who'll encourage a test - so more caught in medical attention and less "we'll see if the cough's gone tomorrow?" having had the cough gone.
Also, not inconceivable that a higher number of young women didn't go the pub during the Euros.
I'm not sure looking at positivity alone though would help, anxiety disorders tend to be more common in women, so people who are perhaps over-testing themselves due to anxiety of the virus are likely to be less likely to be positive test and could make up a lot of tests.