Ajax state leaking to Views bulk operations

Problem/Motivation

#956186: Allow AJAX to use GET requests caused a(nother) regression with bulk actions on ajax-enabled views.

Steps to reproduce

1. Install Drupal 11.x with standard profile
2. Enable ajax on the /admin/content view
3. Create one article node
4. Visit /admin/content and apply a filter (e.g. Type = Article)
5. Delete the article through bulk operations

This causes POST request with extra state, which somehow just reloads the page without any CSS, no message and nothing happens:

Proposed resolution