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After a lot more debugging, I narrowed down the problem and found a workaround. I am leaving it here in case someone else has the same problem, or maybe if someone feels like debugging the underlying problem one day.

The issue, recapped
The problem was not the LaTeX installation itself: it was ...

I have just gotten a new computer, and installed the newest version of MikTeX on the machine. Now a lot of my old (previously working) documents no longer work correctly. It seems that my main problem is with PSTricks, where figures simply don't compile right, or they compile and look really odd ...

I'm working on putting together a class for my thesis, using a bunch of user-defined macros and such for layout and semi-automatic layout. Currently, I have a "database"-esque system where I add publications, which can then be automatically output in a list-of-publications, and have automatically ...

Stefan_K wrote:\FloatBarrier doesn't break the page if no float is waiting.

Pretty important difference. Thanks for clarifying!

Since floats don't get out of order, they will stay in the document logic, maybe at a later place. [...] A picture has a caption, that describes what the picture is, what is seen on the picture.
I still feel like it is wrong seeing the section header of a later section, when a figure belonging to ...

This is inconsistent and bad.
Just out of curiosity, why would it be inconsistent? I know I'm nitpicking here.

Right now I simply have the headers on page-of-floats be empty apart from the page number (just like in the MWE). Do you have any suggestions to alternatives, or do you think this is for ...

I am making my thesis, and am playing around with all kinds of little optimizations for the look of the document. There is one thing I haven't been able to figure out though, and I hope that someone here might be able to point me in the right direction.

I want the header of my page-of-float's to ...

This is absolutely perfect, thank you so much for the quick reply! Stefan to the rescue again!

I ended up using
to still have the line not be indented after the vertical skip.

I usually use the standard LaTeX behavior for new paragraphs - a new line, allowing an indentation of the first line in the new paragraph. I also use sections to split up major parts of the document.

Sometimes, however, I like to break up my text in sections without headers - creating a new ...

First of all sorry for the late reply, I've been out sick :(

If you want to write any title (I refer to the title attribute of bibtex entries ) in emphasized format, you can change this function: [...]
This indeed changes the formatting of titles, but I actually wanted to change in the booktitle ...