It is a falsehood to claim that people with transgender identities want 'equal rights'. They already have the same rights that everyone else has.
Of course, many of us already know this. But for anyone who doesn't understand what is falsely being demanded with that phrase 'equal rights', the falsehood is that they demand additional rights and privileges over every other person in the population of the country that they live. The way it works is that if they are a male person **, they already have those rights that male people have. When a male person with a transgender identity demands access to female single sex provisions, that is in addition to the provisions they already have access to as a male person.
All male people in UK : For fair competition, male people have access to sport in a male event or mixed sex event.
All female people in UK : For fair competition, female people have access to sport in a female event or mixed sex event.
All male people with transgender identities: have access to all male sport events which some of them reject and instead demand into female sport events. This means that this group of male people will have access to ALL sports events that are open to able bodied athletes within a certain age/skill category.
This is the same for other provisions as well.
There should be no expectation of rights for a sub-group of male people to access the rights of female people just because they reject the rights available to them as male people. They have not changed sex category and if the rights are sex based, they are sex based for a reason and that reason does not change because they believe in a personal and subjective reality that is not reflective of material reality.
Male people who demand their subjective reality is treated as if it is materially reality will indeed always be excluded, because material reality abides regardless of one person, or a group, believing that a subjective reality is universal. Nothing will change the material real facts that male people are not female people. It matters nothing to material reality how distressing this is to anyone.
No one has the right to demand that everyone else in the population treat them as if their subjective reality is materially real. That is also not respectful to demand that everyone treat that subjective reality as if it is everyone's proven and established material reality.
( ** defined as being a human who has a body formed around the production of small gametes, regardless of whether their body does, has or will ever produce those small gametes.)