Since everyone is offering their opinions on the two headphones, I'll join this bandwagon. I'll just describe it more from a feeling stand point rather than trying to get into the details of the sound while making some kinda analogy that I just thought of so it probably won't make too much sense and if I am correct in assuming that many on this forum are likely younger than I am, the analogy may not work well.
I personally really enjoy my m1060, especially for the price point it sells at but I don't consider this as great as others here claim nor do I look at it as superior to the HD650, but I can't say it's inferior. To me, the m1060 is like watching Saturday morning cartoons (may it rest in peace) on a 32inch CRT TV while sitting on ikea quality fake leather couch. As a kid, you were happy watching cartoons even if it was a somewhat crappy cartoon but it was a cartoon so it was good. The quality and detail of a CRT sucked but still good enough to know when the content being streamed was good or bad. If you watched TV on a CRT for long periods, it would start to irritate your eyes, bringing some fatigue, but it would be okay since the activity was fun. The flickering of the TV sometimes became annoying but you ignored it. If you sat for very long time on this described fake leather ikea quality couch, you either got uncomfortable or hot because the leather wouldn't breath but you just took a quick break or changed positions and you were good to go again.
Now moving on to the HD650. It's like you just upgraded to a cheap 32inch FHD LCDTV from 15ish years ago (i think.... around the time LCD were getting more common). The LCD at 1080 has a noticeable resolution upgrade. The details are fantastic. But because you bought a cheap TV, the quality isn't as good. It maybe able to produce the same colors, maybe more than the CRT but the vibrancy or contrast isn't there. if quality was an issue, you could have gone for a plasma but those are bulkier and generally still more expensive. LCD TV's were great because it was lighter and more versatile. But then you try watching some 'Saturday Morning Cartoons' on it and you start to notice the quality of the stream kinda sucked even though you didn't notice on the CRT. It just becomes not as exciting to watch anymore - maybe it's the color? Maybe it's new details you're seeing? but whatever the case, It helps you realize and appreciate the smaller details. It helps open the path understanding the smaller details = understanding the details - the difference between TN, IPS, OLED, AMOLED, etc. as well as getting into the 4K 8K territory, refresh rates, response rates, and all the other details may look for on paper but 90% of those people have no clue or can't tell the difference. Your preference may not be the same as the person next to you but you understand the difference while the average person still looks at it and thinks it's a screen.
Damn it, now I'm craving a bowl of Lucky Charms.
Cheers