I have also gone through a similar home test with AirPod Max and Beoplay H95. I spent over one week comparing the two side by side. It was a really interesting experience. The APM connect perfectly and quickly to each of my Apple devices. However, I do have a fairly large head and the H95's were noticeably more comfortable. Sound quality is always going to be subjective but the H95s gave me the sound that I wanted from my favourite music. I still don't understand how Apple can continue to send out their new headphones in such an appalling case. How long would it have taken to have produced an APM headphone case 2.0? By contrast, the H95s are luxurious headphones that come in an equally luxurious aluminium case.
I sent back the APMs and have just received my refund from Apple. Having decided to keep the H95s, I realised that they were unable to realise their full potential due to the need to use the AAC Bluetooth Codex when listening to High Definition music. I then bought a Creative BT-W3 bluetooth dongle, turned off the in-built bluetooth on my iPad Pro 12.9 and within seconds I was able to listen to HD and UHD tracks via Amazon Music HD. Superb sound, exactly what I was looking for. I discussed this with the Beoplay engineers via Customer Support and they confirmed that they also recommend this USB-C dongle. It makes sense as it is now very difficult to get AptX HD output from MacBooks or iPads using macOS Big Sur. The BT-W3 allows you to switch between standard bluetooth (SBC), AptX, AptX HD and AptX Low Latency. The H95s do not support Low Latency so I use inbuilt Bluetooth AAC when watching movies, which seems to have a fairly low latency.
I would definitely recommend auditioning future Bluetooth headphones with a dongle so that they can be tested in AptX HD instead of just AAC, especially when comparing with APMs that do not have this facility.