Tl;Dr: I love my HD560S, but the ATH-R70x (with a JDS Atom Amp) is the closest thing to a holographic 3D sound image I've ever heard in COD.
I play mostly COD & recently went on a binge to see if anything could dethrone my 560S for situational awareness... tried DT900 Pro X, PC38X, K702, 700X, a used AD700 off eBay, plus retested my Sundaras & former go-to DT990 (250 Ω). None bested the 560S for me. Then I
The 900's made gunfire sound VERY HARSH when sound pressure levels got anywhere even close to what I can comfortably listen to the HD560S (peaks around 90 dB). I can see why Fresh Reviews & others love them, but they're not for me.
Trying the PC38X convinced me that anyone who pushes them are shills. Perhaps my pair were assembled late on a Friday (if that's a thing for assembly workers in China) but they sounded terrible to me with harsh treble, muddy bass, and worst of all, 3-blob left.......center........right soundstage that was horrendous for locating footsteps and subtle audio clues.
K702 & 700X both have exaggerated huge soundstages that sound unnatural to me. I know the direction, but all too often the distance of footsteps and subtle audio clues was hard to determine. I can certainly see why people get impressed by their big stage. Plus their weak bass & elevated treble definitely trigger your "spider sense" to hear an enemy around you even when explosions & gunfire are going off. But the HD560S simply give me a much better overall stronger sense of direction AND distance...
Unfortunately the old AD700 came with a driver imbalance where the right was about 2dB louder than left. Still, I could tell these were significantly better sounding than the 700X that replaced them, as well as vastly more comfortable with superior (possibly aftermarket) pads. I was initially tempted to get a preamp with ability to balance the left & right channel, but decided that it still wouldn't sound as good as the HD560S...
Sundara simply sounds beautiful, but unfortunately has a smaller soundstage & doesn't image as nicely as the 560S, so it will remain at my work desk for sublime music listening...
DT990's V-shaped EQ means gunfire isn't as harsh as with the 900 Pro X. Its soaring treble helps reveal those "tinglers," But for me the 990's greatest strength is resolving distance of sounds accurately. As an OCD engineer, I found if you go into a private match to mess around with auditory changes as you approach or retreat from sound sources, the DT990 seem to resolve finer changes in sound pressure better than all of the above. But its smaller soundstage and frankly its annoying long, curly cable make me reach for the 560S instead...
...That is until I gave the ATH-R70x a listen (due to Crinacle's kind words on these sadly overlooked & mostly forgotten pair of cans). WOW! Not only can I tell if someone if sneaking up behind, but I can tell if he's jumping, crouched, above, below, behind a wall, etc. These are the "wall-hack" headphones I've been searching for! I can zero in on sound cues as easy as I can locate my iPhone in the next room with Find My Phone. For example, whenever I hear the signature sound for a loot chest, 9 times out of 10, I can beeline directly to its spot without missing a step. I've gone from well below 50/50 in the Gulag to winning nearly 70-75% of the time thanks to its holographic 3D sound image.
The caveat is to extract that much detail, you WILL need a headphone amp. I was actually able to get a satisfactory volume level (85 dB peaks w/ slow C-weighted) connected directly to my Xbox controller, however the soundstage and dynamics were reduced. Connecting it to my JDS Atom (via an Astro MixAmp Pro TR to free my controller of wires) enables its 470 Ω / 98 dB (1 mW) drivers to sing!
However you asked specifically about Sennheiser... I must say the HD560S is right there. And that's powered from an Xbox controller! At 120 Ω, they stand to improve a bit in dynamics with a headphone amplifier, however thanks to more efficient 110 dB @ 1V (or ≈101 dB/mW) drivers, they are already at perhaps 90-95% peak performance with the common 1 Vrms output voltage in many, if not most modern portable electronics (other than a PS4 controller). In fact, it's as if the 560S was designed to just make it at the limit of our phones with its 110 dB @ 1V spec, given that 110 dB loudness is a common benchmark for audiophile gear, most phones today can output 1Vrms... Likewise with 120 Ω impedance, only 8mW of power & 8 mA of current is required, which an iPhone and an Xbox controller can manage. So you could say the HD560S is ideally suited for the majority of gamers who aren't running headphone amplifiers.
I can attest that I get 85-90 dB peaks in COD with my 560S plugged directly into Xbox controller & volume level set to 8/10 with chat mix at 50/50. Meanwhile the R70x requires 10/10 volume & 100% sent to Headphone (0% chat) to achieve 80-85 dB peaks from controller... Listenable, but again with significantly reduced dynamics, since its 470 Ω & 98 dB/mW craves 2.7 Vrms for 110 dB sound pressure!
So in the end, I have both the 560S & R70x by my side... When I'm preparing for a gaming session, I fire up the JDS Atom, MixAmp, & untangle the 2 wires to the R70x & 1 for the Antlion ModMic (wireless one doesn't work on Xbox!) and settle in for glorious 3D immersive wall-hacking sound. But when a buddy hits me up in the middle of Netflix or such, I'll simply grab the 560S with a VModa BoomPro & plug it straight into the controller for quick & easy excellent FPS gaming audio.