Naysberg:
A wife can ask for a divorce, she just can’t give one. So it would seem that the divorce process still, in some way at least, can initiate with the wife.
Also – only the husband can give a get, but the wife has to accept it. If she refuses, it can lead to a very long and messy process. I personally know of more than one man who was stuck for 10-15 years because the wife refused to accept the get. And yes, there is a heter meah rabbonim, but valid ones are very hard to come by.