Yes, you've made a great example of what I call a Hi-Fi pickup. It's clean, clear, high definition, relatively flat EQ. It's designed to read the sound on the strings and accurately send it along to the amp, with minimal modification to the sound. It's the opposite end from a standard P-Bass pickup, which is specifically designed to shape the sound.
Most aftermarket pickups are made to modify the sound heard on the strings. Like what the P-Bass pickup does, but a little bit different. Taking the natural tone of a P-Bass and adjusting it into something better. Of course, better is a matter of opinion. And there's lots of debate about what is the "best sounding" P-Bass pickup.
When you put a Hi-Fi pickup in a P-Bass, you may or may not like the sound of it. The modification that the normal P-Bass pickup does will be gone. Will you like what you hear?
What made your pickup Hi-Fi is the shape of the coil and its position within the magnetic field. With the big magnet on the bottom and the narrow vertical steel blade, you've made a magnetic field that is an "I" shape. And you've wound the coil in tightly around the center. That puts all the turns into the most dense part of the field. All of the turns get the biggest voltage spike when the field lines pass through.
And, because the coil is tall and slim, the turns of wire at the outside of the coil aren't much longer than the turns in the center. The little voltage spikes in each turn are more closely aligned in timing. This is what improves clarity and definition.
In contrast, if you had made the bobbins short in height and wide, like a P-Bass bobbin, most of the turns of wire will be much further out from the dense part of the magnetic field. And the turns on the outside of the coil will be much longer in length than the turns at the center of the coil. The stackup of little voltage spikes gets spread out in timing, almost getting out of phase. That's what makes a P-Bass pickup "wooly"; thick and less clear, particularly at the low frequencies.
Almost all of my pickup development work has been with Hi-Fi style pickups. I keep pushing it farther, to see what the limits are. They work with my basses, where I'm playing with the frame structures, using the frame vibration to modify the sound on the strings.
Carry on!