I will answer in three seconds: it's true.
Honestly, I do not understand why we have to justify that. Why would women not perform well and help improve business performance? Rephrasing the question is answering it.
Basically, those sorts of studies assess the percentage of women and the bottom line. Top researchers will say that the causal link is questionable. Other studies try to show that, ultimately, the link is not as strong as it is believed, because the results are sometimes different when compared to other boards with women.
Personally, I am convinced that diversity, equality and the presence of women improve the situation. Many people have told me that they would not go back to boards of directors made up of 50-year-old white men only. I have nothing against men of that profile, I like them a lot, but we want people with diverse experiences. This is true for women and for other groups. That goes without saying. In their speeches, managers will say that this is where the future, profitability, performance, and sustainability lie. It's what makes a company socially responsible.
I completely agree with that. It takes energy to get there, rather than trying to still convince people that women can do the job. I think that goes without saying.