I am reluctant to be in any situation where you have to get your spouses permission to do something like this, does this work for women also? Do they have to get permission to change?
This is not the case. It is not permission to transition - that is entirely in the hands of the transitioner.
This is the spouse being asked whether they consent to remain in the marriage with this massive shift in what they agreed to when entering into the legal contract of marriage. And whether they consent to now being part of a same sex marriage, which frames them as homosexual whether or not they choose to identify themselves as such.
If they do not consent to remain in the marriage then if I understand correctly, an interim GRC is granted - please bear in mind how very very few people actually apply for one of these as part of their transition, the massive majority of transitioners do not - until the marriage has been annulled. When that has happened, and the spouse has been released from the marriage, the full GRC certificate is granted. There is no practical impact upon transition.
Annulment is necessary since not all women of all faiths and cultures are easily able to divorce without significant disadvantages.
As any frequent reader of MN knows, the issues for a woman having to fight for a divorce with an unwilling to grant it partner can be a lengthy, extremely expensive and distressing process. Transition is often an extremely expensive thing, there are many accounts of family funds and assets being severely affected and depleted, and in almost all cases the wife will be the one who will primarily be supporting the children through their father's transition, and providing home and future for them as their resident parent after this massive upheaval in the family life. It is easy to see that a two year battle to gain legal separation may be a severe burden to inflict on mother and children and worsen their situation.
This is not 'do you give him permission to transition' - the transitioning partner is free to do as they wish.
This is 'do you consent to remain in a legally binding marriage upon these changed terms'.
It's hard to imagine why someone might feel a woman's consent should not be an essential part of this.