on face value you can't argue with your logic but if you want to play the long game and help create and contribute to an industry that includes people from all demographics than this is a very smart move.
and more people included in your sample, more chance of finding amazing A++ engineers that can help the industry, your dev platform, etc...
Take home tests are the worst. Company says take home test will take 3 hours to complete. They never do. Schedule 2x or 3x the estimate. Especially if you want to impress the reviewer.
You send it over, then the company says no or yes, only to move to new stage.
In the worst case you ruined your weekend and received a no. But the company just took 10 minutes to arbitrarily reject your application.
From the company's perspective:
I've seen applicants receive friends'/roommates'/spouse's help on take home tests. Not a good indicator at all even with a glowing submission.
and more people included in your sample, more chance of finding amazing A++ engineers that can help the industry, your dev platform, etc...