I'm an Audiophile who owns an absurd amount of over-ear headphones, and these aren't my first Bluetooth headphones, so I've had several experiences of good/bad design as well as sound signature. Unfortunately, the ATH-DSR7BT falls short in some key categories.
The DSR7BT comes with a long, thick Micro USB cable as well as a nice carrying pouch. However, compared to other Bluetooth headphones I have, Audio Technica made no effort to incorporate a folding design, so they aren't very portable. The earcups do rotate 90 degrees towards you, so you can lay them flat, but that's about all you get.
So how do they fit? Well, here's the catcher...these headphones are not good for large size heads. I don't have a large head by any means (I'd consider my skull to be average size), but the extending headband simply does not extend enough. My other 2 over-ear bluetooth headphones extend significantly more than these, and they are from brands that are better known by the general populous compared to Audio Technica. Goes to show, Audio Technica still has a bit to learn to reach the top. I literally have the DSR7BT extended all the way, and it is only then that I feel that the earcups are properly centered over my ears. So if you have a larger head or just different anatomy than me, well you're kind of out of luck because these will disappoint you.
Comfort? Well, if you're like me, the apex of your head experiences discomfort pretty quickly if there's too much weight, too little padding, or excessive clamping. For me, these definitely rank under my other two headphones which I've taken on domestic and international flights without experiencing issues. Now, these DSR7BT's are not noise-cancelling, so I wouldn't take them traveling, but I would have considered using them at the office. That being said, I definitely have to take these off and give my ears and head a rest because the clamping force is a bit strong, despite the padding on the headband and padding being quite good! So your mileage may vary!
Usability? I wish this is where it got better, but it really doesn't. To figure out how the DSR7BT works, you pretty much HAVE TO consult the user manual. The volume is controlled by a slider which feels crickety. I don't understand why they wouldn't use tactile buttons, but this is probably the worst volume control I have on any of my 4 Bluetooth headphones. If you want to skip a track, you can shift and hold the volume slider up/down for 2 seconds. If you want to pause or play, however, you have an even worse control—a touch-sensor. So you have absolutely no tactile button for play/pause, and it's also a bit slow to respond compared to my other headphones. But if you hold your finger down on the touch sensor long enough, you'll spawn Siri / Google Assistant. Overall, these controls are very odd and can be frustrating when you accidentally hit the touch sensor while trying to push the volume slider. Pairing can be done via NFC, but if you don't like pairing that way, you can just do it from your device's Bluetooth menu. However, there doesn't seem to be any way to put the DSR7BT into pairing mode once you've already paired a device, aside from using a tiny paperclip to press in the tiny reset button on the left earcup. The only way that I have found is by disconnecting from your phone's Bluetooth device menu. Once you've done that, you can connect a different device. This is much more of a hassle compared to any other Bluetooth device I have where I can usually hold a button to set the device to pairing mode. Additionally, the LED indicators on the left earcup indicate with audio Codec is being used, but you will have to consult the manual to figure out which LED corresponds to which codec.
So how does it sound? Regardless of Bluetooth or wired use over USB, I'd say it's balanced with punchy (but not booming) bass, clear mids and treble response that doesn't overwhelm with sibilance. Sound stage is decent, but not incredibly wide. Stereo imagine is also good. After having used them for many hours on end, I'd say that these have a very pleasant sound signature, and I'd be happy with the sound signature if these were my primary cans.
As for battery performance, they claim to last 15 hours, and so far, I'd say they stand up to that claim, but that number is definitely less compared to other Bluetooth headphones I own by at least 5 hours. Certainly a usable number of hours, but definitely lower than industry standard at this price point.
Overall, I don't think these can take the position as my primary cans due to their lackluster design and the discomfort I experience in comparison to other premium over-ear Bluetooth headphones I own. From my experience (which may differ from your own), I can't recommend these given that I've had a much better overall experience from other cans that cost only $50-$100 more.