Exactly.
To help you visualize what it looks like (at the risk of explaining the internet as "series of tubes", which was a correct metaphor, by the way)… There's no such thing as a rectangular magnetic field when you're dealing with simple coils (it could be achieved with something like a phased array though). So in case of DD coils, no matter if tx/rx antennas are D or O shaped, the emitted field (or rx "field of view") will be more or less conical.
Now, to the "visualizing" part… Imagine that each of your coils in a DD arrangement have a very thin rubber membrane stretched over it. You drop a musketball in the middle of each and let the membranes stretch to their limits. Repeat for both sides. That'll be your antenna pattern. And your detection pattern will be where these two shapes overlap. Now, if you "look" at this overlap from the side, with larger coils it will be more rounded, while on "sniper" sized ones it'll be almost triangular. It's just the matter of shape, overlap and scale. You want more "rectangular" overlap? Get an elliptical.
Again, we're talking extreme detection range here, which is seldom correlates with the real world and largely depends on conductivity and inductivity of your targets. Naturally, small mid/low conductors (read "thin gold chains") are very hard to detect at maximum depth, all other things been equal. A silver dollar, on the other hand, will easily set off the machine from way outside that overlap we've just visualized.