I think that's a very solid selection. Of the three I personally lean towards the PC38X with the TYGR a very close second. I didn't like the HD 560S as much, but part of that was it's performance with music and the fact the hinge bulges on the inside of the HD 560S ear cup touched my ears. Which is odd because the HD 598's never did that, or at least I don't remember them doing that years ago. So because of that they were never as comfortable for me, but I'm probably an outlier in that regards.
The PC38X has a frequency response, tuning that I really gel with. For gaming it's the best headphone I've heard. Technically no where near the best, but it just does what it's meant to very well. The TYGR has the best imaging, probably of any headphone I've heard. Again under 300g, very comfortable and this one has barely any clamp. Unfortunately an attached cable, but at only 1.6m the nicest of the classic DT's I've owned. The HD 560S has the most detail retrieval. For gaming it is fantastic and with a removal cable you have the option of the boom mic for less wire clutter unlike the TYGR.
In short you can't go wrong - which I doesn't help.
I watched that review as it was in my feed and I thought it was very 'un-headphone show' like video. In that it felt very much like a sponsored review and similar to what you can get on other channels. i.e. don't say too much bad. I also disagreed with the premise of the Audeze Maxwell setting this bar, or trend. All of these wireless gaming headsets are doing something similar where they tend to use 2.4g wireless with simultaneous bluetooth, charging bays etc. And have been for years. And good gaming headsets aren't new. Just my opinion but I think headphone show Youtube channel is at it's best when they are doing some of their editorial content.
Albeit that new Fractal headset has reviewed well elsewhere and does look interesting for the price. Don't want to suggest it's a bad product. It seems there's a trend when certain companies not known for headphones/sets seem to get it right on the first try; i.e. Rode, Coolermaster etc. And Fractal have put out a good wireless headset.