Correct. A "second order highpass" filter theoretically rolls off that driver's response at 12 dB per octave below the filter's frequency.
I always make my own suite of measurements and figure out my own "target curve". I never end up using textbook crossover filter values and almost never use textbook filter topologies. The specifics always matter, and even with perfectly reliable published curves, you still don't have enough information (for instance, what is happening in the phase domain, and how does inter-driver offset affect it?). And by far most of the components in my crossovers are dedicated to shaping the frequency response rather than performing the actual function of "crossing over". So I never try to armchair-quarterback crossover designs.
Okay that being said, what I do is totally impractical for most people, but I wanted to let you know that it's not so simple out in the real world. Without knowing the specifics about what you're trying to do, and assuming you're limited to spec sheets and online calculators, here is what I suggest:
1. Make your best guess as to the impedance of the driver in the crossover region. If it's an "8 ohm" driver and when you eyeball the curve it looks like 5.5 ohms in the crossover region, then use 5.5 ohms.
2. Plug that impedance and the desired -3 dB frequency into an online calculator (staying within the manufacturer's recommendations for frequency). If given the choice, use the "Butterworth" type filter - it's more forgiving than most. The program will give you capacitor and inductor values.
3. Build the filter and try it with the high-passed driver in NORMAL polarity (same polarity as the woofer), and also in REVERSE polarity (opposite polarity from the woofer). Without knowing what's going on in the phase domain for BOTH drivers, plus the voice coil offsets, we can't reliably predict in advance which polarity will work best. The one that's loudest through the crossover region is the "correct" polarity, but it's okay to use whichever sounds best.
Hopefully the net result will be just what you had hoped, but I make no guarantees.