Had the QC35s - hated the sound, but ANC was nice. Took them back and picked up the XM3s - loved the sound and ANC was on par with the QC35s. This was back pre-Covid and I was traveling a lot, so ANC was important to me. Then, this past December, as all the hype/news was coming down on the APMs, I picked up a pair of XM4s at a pretty good discount. Sound was great (even better with some EQ) and multipoint was awesome for switching between my iPhone and iPad. That, and same level of ANC (meaning, good). Ambient sound mode was decent as well. Mic quality was OK, but not stellar. With both my wife and I working from home due to the pandemic, I was surprised how both ANC and mic quality rose up the list of my requirements for a good set of cans; right up there with sound quality!
Then, was lucky enough to find a pair of APMs locally and snagged them (honestly, it was the thrill of the hunt, of actually finding a pair, that pushed me to purchase them rather than a "need" for another pair of cans) Plus, I was still under the return period for the XM4s, so I could do some proper, direct comparisons between the Sony's and the APMs before returning either (or keeping them both).
So armed with my list of requirements; 1. Sound Quality, 2. ANC/Transparency, and 3. Mic Quality, I embarked on my super scientific testing. Pull up a good song, play it, listen with the MX4s, listen with the APMs, rinse, repeat. I tend to not like EQ on my devices since I like to listen to music the way the artist/engineer intended things to sound. That said, I do love punchy bass and the XM4s (and XM3s) do deliver there, however, to the detriment of mids and treble - things tend to get a muddy. Punchy, for sure, but muddy. EQing in the Sony app definitely helps a lot. But, then you have that "artificial" sound.
The APMs are much more neutral, but super clean sounding. And that bass that I love so much, is definitely there, if a bit more controlled than with the Sonys. With no EQ, the APMs blow the Sonys with no EQ out of the water.
ANC is about the same on both, but the APMs Transparency mode is better than the Sony's Ambient mode. This is important to me as I still like to be able to hear a bit of what's going on outside the cans when I'm working in the home office (pets, wife, doorbell, etc.). But, if want total silence, a quick click of a button and ANC envelops me in velvety silence.
Which brings me to the mic and the APMs have it here as well. Zoom/Teams/GoToMeeting calls are crystal clear and you wouldn't know I'm using a headset (unless, of course, you notice these huge chunks of aluminium hanging off the side of my face in the video).
That all said, the APMs are nearly $600 (after US taxes) and I got the XM4s for closer to $300. Are the APMs worth twice the amount of the XM4s? Probably not, but you're not getting screwed on the APMs - to me they are a quality set of cans that punch above their weight class. If you can comfortably swing the cost, go for the APMs.
Phew, that's a lot. TL

R - APMs are better in ANC/Transparency, mic quality, and raw, neutral sound quality. Artificially tweaking the sound on the XM4s and XM3s can produce a "fun" sound, but I still say the "quality" of the sound out of the APMs, sans any EQ or accommodations, is better and more pleasing.