So, those are both with some sort of DSP integrated into the headphones?
All active headphones these days have a built-in DSP, or even DSPs, it's about how you use them .
But in the case of the APM's (or Bose 700) ear canal gain region specifically I don't think that the DSP has anything to do with it (or only indirectly as their feedback mechanism locks their response below 800-1kHz regardless of what happens in the front volume, but not above, even though we're still operating under pressure chamber conditions up to a few kHz, so that already makes the ear canal gain region more sensitive to variance in the front volume relative to the feedback range). After a comment from Oratory on Discord I'm also wondering if some of the decisions taken to make them great ANC headphones also makes them more sensitive to what happens in the front volume (related to acoustic impedance but my understanding of that concept is nearly non-existent).
With the volume dependant FR models you should volume match with the HTC. Test were done at a fixed SPL level if I'm not mistaken.
Given the variation in the average loudness of recordings it would quite dumb for Bose to simply look at the internal volume setting and apply the EQ. What I think they might do instead, whenever they have access to the digital format (ie when using bluetooth), is that they look at the volume of the signal vs frequency in real time (-32dB @ 457Hz, -3dB @ 7629Hz, this sort of thing), and apply their volume dependent EQ this way, acting not just as an equal loudness contour adjustment but also a mild compressor. I no longer have my 700 but I've ordered the QC45. One possible way to test this is test them with real time analysis and compare white noise vs pink noise (converted to "white" after the measurement). Or with music as a signal (some analysers allow you to do this). The long term spectrum of most tracks isn't "flat" so a "flat" signal is unlikely to be representative of what the HPs actually output if such an algorithm is in place. Anyway, advanced ANC, active HPs are a b*tch to measure so it's no wonder Oratory stopped providing finalised presets for Bose products.
Also, an illustration (please don't take my own on-head measurements too literally) of what happens when I measure HPs with the same technique after equalisation to Harman using Oratory's presets : https://www.audiosciencereview.com/...snt-like-this-curve.19668/page-22#post-844726
In the case of the headphones involved here I don't think that it necessarily made them sound worse and with a lot of smoothing it can be shown that the presets were mostly successful at bringing them closer together, but it gives you an idea of the sort of potential discrepancies that may remain.
Anyway, this is a bit of a deviation from DCA's new pair of HPs, my apologies.