I don't understand the hoopla here at all. Determine your dungeon's history and features. Before you get bogged down in the details of map drawing - all those beautiful alcoves and triangular archetecture or whatever, look at the big picture. Takes about two minutes. How would you like those features to connect to each other?
Jaqcuaying is just a diagnostic tool to make sure you don't lose sight of the forest for the trees. Is it essentially linear, branching, or circular, or.something else? How does that reinforce the mood of the location?
What features might you add or subtract to enhance that mood now that you've considered the overall layout? Are there places that would be interesting if they were connected or not connected?
You simply your thinking so you can overcome habits of mind. Creative people do this all the time. Am I doing this out of force of habit, or am I doing this out of intention?
When I draw maps I have all sorts of habits that spring up from years of playing games. I might draw a shape because it's a shape I'm used to drawing. And now I'm stuck with it, because erasing is discouraging. Yeah, it sounds stupid. But creativity is delicate. You need to keep moving. If you start with a skeleton, a simple dumb, outline, you can dive into the details with more confidence and verve. Now your details mean something and it's easier to make them.
Yes, 2 + 2 equals 4. And how often do we forget that when we're concerned with logx(1/8) = -3 / 2 ?