Here's the problem as I see it. The issue of transgender people in sports is, on a macro scale, only minimally about sports. It is fundamentally driven by conservatives who are anti-trans, full-stop, and this is just one easy arrow to pull from their quiver in order to stoke hatred of, and promote discrimination against a certain demographic group of people whom they personally dislike. I don't hear a lot of crowing about restricting trans-males from competing in men's races (I've coached a few who have done it). It's almost universally about trans women competing in women's races, and it comes down to one basic chemical: testosterone. The conservative framing of the argument is "look what these trans people are doing to society! They're ruining women's sports! It's unfair!" So what is their response to a scientific approach to the issue, which is to follow established biological and psychological protocols to identify trans kids early on and provide them with the medical treatments necessary to allow them to correlate their gender identities more fully with their physical forms, which would then level the playing field entirely with trans girls competing with cis girls? Of course they're opposed to it. So that means that they really don't care about the sports element at all. Again, just like with the issue of abortion, it is the compulsive drive to control OTHER people's bodies, and that practice doesn't have a very noble history (slavery, etc.).
You aren't a bigot if you think it's unfair that certain people get to compete with more testosterone than other people. In fact, that's a rational viewpoint.
You ARE a bigot if you think it's unfair that certain people get to compete with more testosterone than other people, AND that those with higher levels shouldn't be allowed to go through medical treatments that block testosterone from an early age so that their physical advantages don't occur in the first place.
And don't forget, these are mostly KIDS that we're talking about. Kids deserve to grow up in supportive, caring environments where they get to socially engage with their peers, including in athletics. If we have the means to be able to make this happen fairly, we should.
(and look, I know some of you are going to post all kinds of right-wing garbage about detransitioning and people who now say they made a mistake, etc...... so I'm just going to get out ahead of you and state that it is EXTREMELY rare that this happens. The science is very clear that transgenderism is real, it's diagnosable, and there are safe, effective treatments that have successfully been used by thousands of people who now get to live their lives as fully actualized people, instead of prisoners inside the wrong body.