These "chosen pronouns" were already being used by people, different people, to mean something different. And that meaning was important.
The choice by male people to appropriate and redefine all words that label female people takes away the ability of female people to name their own existence, their own reality. It takes their choice away from them.
So no, my respect for human beings' right to be who they are does not extend to supporting them redefining other people's existence, nor to take over the names, spaces, rights, social and political presence and voice of another group, especially not an already marginalised one.
I do not support anyone appropriating someone else's land, resources, culture, history or identity.
In fact, it's just occurred to be that Sam Brinton, in stealing individual women's suitcases, is simply physically enacting the core values of this movement. He decided it was important to him to have what these women had so he took it from them.