I use deferred script loading. There was a lengthy technical explanation from some guy who is a well known website performance guru. He clearly states that deferred is the way to go (for this and that technical reason, backed by all kinds of data and charts, that many people seemed to feel was wide open for debate, re: async).
So I started working with it. Deferred scripts have the advantage of downloading async, but executing in the order presented, which can be a problem with async (e.g. you can load your app bundle before your vendor bundle because you don't control the execution order of async scripts just by saying "in this order").
However, I found out right away that although this solves that problem, this could mean, depending on how you grab your bundles, the CSS bundle isn't loaded. So you can end up with unstyled content, depending on how you set things up. Note that for defer, they also say that you shouldn't be writing to the dom etc. in those scripts (which again makes sense in terms of your documentation).
So it would seem your documentation is correct. The effect is easily reproduced.
How do I get out of it; the most basic way, is like this:
<script src="css.bundle.js"></script>
<script src="vendor.bundle.js" defer></script>
<script src="angular.bundle.js" defer></script>
<script src="app.bundle.js" defer></script>
This makes sure that the css loads in first, so your home page and so on will show up nicely, and also ensures that (although all three are loading async), that app.bundle will execute last, ensuring all other dependencies are in order.
So, you take the absolute bare minimum of CSS required to kick over the app, create that as a bundle, and load it first, before anything. Otherwise you can bundle in your CSS per module/component, and so on.
There's a lot more to this topic and I could probably be doing more, but again (I will try to find the reference), this was overtly recommended by that performance wizard, so I tried it and it seems pretty effective to me.
Edit: Fascinating, while looking for that reference (which I haven't found yet), I went through a handful of "experts" on the subject. The recommendations differ wildly. Some say async is far superior in all regards, some say defer. The jury really seems out on the topic, overall I'd say it probably has more to do with exactly how you build out your scripts than whether one is actually better than the other.
Edit again: Here's some more evidence. I ran a performance analyzer on a stub website using the above simple loading sequence, deliberately making the scripts naive so they'd be visible in a timeline.
Here's an SS of the result: there are four yellow boxes here. The first three are the evaluations of the scripts. The fourth one (when you mouse over it in the tool, this is just the SS remember) is the DOMContentLoaded event (the one with the red corner).