Yes i think they did let you down. In an ideal world, there would be enough resources for all women to be cared for by midwives they knew, and they'd be able to make choices together, based on a relationship which has built up over labour over where to labour and when.
But sadly there isn't the funds for that, either the personnel or the space.
Also, it is totally reasonable for you to reflect on it.
The 'well your baby is safe, that's all that matters' line is bullshit.
yes it is great your baby is safe. But that doesn't make your experience of labour, or the care you got, irrelevant. And to claim it does is to negate and silence the totally normal and reasonable reaction you are having to how things went.
It's just another way of telling women to put up and shut up. Fuck that.
If someone has a major life event, e.g. a car accident, even if they walk away fine, we consider it normal that they might be shaken up by it, and might need to process it through talking about it, counselling, reflection, whatever.
Why should labour be any different?
It is a major life event. Emotionally speaking it is on a par with death.
The habit of the medical world, to just look at physically what happened in labour, and if your baby (and if you are lucky, you) are fine, to say it was 'normal' and no further discussion is needed is just one more way of repressing women.
When someone close to you dies, no one ever says 'well it was normal and expected, so no reason to be upset'
OP I also had a lot on my mind about my first labour. I did a lot of reading and in the end did a course with Michel Odent, who really opened my eyes to how labours naturally run (as you have found out, big variations!) and how that interacts with a patricarchal medical system that likes control. It really helped me to understand what had happened and why (I was the classic good labour went bad due to standard medical care. So not that they did anything 'wrong' on their terms, but that the very protocols in place created problems where there were none, and the things I needed: warmth, food, sleep, to feel safe, were either not provided or removed). And from there I was able to let go of dwelling on it and move on.