Yes. There are two major pieces of research in this area. The 2018 UCLA study found no correlation between trans-inclusive policies and increased risk in bathrooms and locker/changing rooms, and the more recent Massachusetts study which compared states with and without gender identity inclusive policies for bathrooms and locker/changing rooms found low rates of safety violations in bathrooms overall, and no significant difference between trans-inclusive and non-inclusive areas.
In a global study of all reported incidents involving biological men on biological women in female bathrooms, only one of the perpetrators identified as transgender, and only them and one other was presenting as women for the purposes of accessing that space - all of the rest were male-identifying and male-presenting males.
So yes, there is plenty of data on the "receipts".
In contrast, 36% of transgender women using male bathrooms have been assaulted, 70% of transgender people avoid using bathrooms in public due to fear, and 8% have had UTIs because of holding it in to avoid using public restrooms.
In the meantime, I would say anecdotally that there are a lot of women who don't want to use unisex changing rooms, which is how a lot of spaces are going to choose to navigate this. Council leisure centres in two previous areas where I've lived moved to doing this, and really it just results in no one having a proper shower which is not great for public health either.