I mean, if genders are equal then an equal number of men and women should be leading in matters of gender equality.
And there are real issues that stem from this. If you make it so that under-represented people always lead initiatives to improve representation, you are adding workload to the under-represented people involved in the <activity> (governance in this case), and making them even more under-represented in the rest of the activity.
The optics in this case are bad enough that the downsides of sending a candidate chosen in a gender-neutral fashion outweigh the upsides, but I'd definitely advise being cautious about assuming that's always the case. If anything it's the exception, not the rule.