Othr than the likes of Camridge or Oxford how would that help this person?

Asking the person who ran the accounting module would be your best bet.

It certainly wouldn't do any harm to check but they should have made the offer conditional if there were any restrictions such as this.

To be honest, I am having a lot of trouble following your posts but it seems clear to me from your initial posts on this subject that you had problems right from the start. The examiners are in no way forced to ask you about your entire thesis. I was questioned on only a section of mine for example.
It appears you failed the viva so badly that by the time they had concluded this, it was reasonable to bring things to a conclusion without going any further.
I think you are going to have to wait for their comments before you can clear this up.

An unconditional offer means exactly that. You are in regardless of your Masters grade.

This would be a terrible idea. Just because others are getting published at a uni doesn't mean you will.
There is no reliable ranking system of any kind anywhere in the world which you can rely on.

Why would you think your examiners didn't understand your thesis?
Have you considered the possibility that either your thesis or your performance wasn't good enough?
I ask because on another thread you gave me the impression that your supervisor had chosen your basic PhD approach for you and you had blamed your supervisor when criticised for that.

Fair enough. It looks like you've made a decision here in which case best of luck for the future.

Your best years are all ahead of you.

It depends on your PhD.
I started writing my thesis in earnest with 6 months left of my funding although I had written 30 pages of theory the previous year. I also had several published papers which I knew I could easily re-write into seperate chapters.
Having said that, it seems odd to be writing a thesis within the first 6 months unless it is a literature review section.

Enormous damage is done when you consider things like "contribution" and "meaning" in terms of what other people think and how they judge you. When you find meaningful work for example, most people consider things like medicine, charitable work etc. but that is a route towards living other people's dreams for you. What you do must be meaningful to you - possibly only you.
Evidence of this damage is seen with the first poster who is so obsessed with what other people think of their work that it is making them seriously unhappy.

What makes you think your best years are your 20s and 30s?
Honestly, that is a very odd thing to be thinking. Assuming you are reasonably active until you are about 80, you are less than 9 years into an active adult life of 60 years. Around 15%. Its a bit early for all this doom and gloom.

As for the rest of your post, in my opinion, you worry way too much about what people think of you and your work. You need to be thinking about yourself only.

I didnt read it that way but you might be right.

Deary me :-D
Maybe you should go to bed and come back in a less touchy mood tomorrow.
It would help if you stop taking things so personally. It's just an exchange of ideas.
That massive chip on your shoulder is not really conducive to a decent discussion.

Only you can explain why you have no time to write a PhD proposal.

Yeah there's your problem right there. You need to stop looking for reassurance on everything you are doing and start taking ownership.
This is the hardest thing for people to understand about a PhD.

Your supervisor needs to be taking you to one side and being frank with you about what is expected of you. Just like I have done here. I suspect she wants to avoid conflict but this is just cowardice. She has a responsibility to give you a nudge over the edge of the cliff and tell tou to get on with things without pestering her. It's hard, it's brutal and it's terrifying but it is absolutely necessary. Tough love I'm afraid.