I have done this exactly once in my lifetime, two years ago. Maybe in another few decades, I’ll do it again, if I live long enough.
And yes, even if your name is Karen but you had a good reason to ask to speak to the manager, you can also reply
Yeah the one time I asked to speak to the manager the first person I spoke to at their call centre (who was really trying her best to be helpful) did exactly that. It was her manager that was obstructive and dismissive, and that when I asked to speak to their manager in turn - who was even worse