The people launching the suits are hardcore Quebecoise rights activists:

The lawsuit was launched by two Quebecers’ rights associations, including Justice pour le Québec, which was led by Frédéric Bastien until his death earlier this year.

...

In 2020, [Bastien] filed a complaint after the Canadian Human Rights Commission failed to provide a French version of a federal challenge to Quebec’s secularism law.

Two years later, Bastien filed a human rights complaint for racism after being denied a job opportunity as a white man. The role was only open to women, Indigenous people, people with disabilities and people of colour.

There are undoubtedly Indigenous candidates who would meet the constitutional requirements. It's worth asking why the government didn't bother to select one of them.