[nescoiquid]

Interestingly, there is a lot of good advice on this in various writings on learning to read Latin fluently. Word order is very free due to the language's inflected nature, and of course, vocabulary requires constant attention.

The most highly regarded advice to breaking through into fluency is to break the habit of re-reading just as you get into trouble, or breaking off to look up a word. Instead, push through to the end of the sentence, holding as much of it in your head as possible, and being ready to re-interpret any chunks (phrases or clauses) that might admit of more than one interpretation. When you've reached the end of the sentence, consider what you think was meant by it. Only then, go back and re-read the sentence. In some cases, it may be necessary to read more than a single sentence together.

At any rate, I think a lot of people agree with your observation.