Hydra Cyclops - Any benefit for my Power-amp?

Right now I plug all my stereo equipments into a Japanese CSE TX-1200 Isolation Transformer (CDP, Clock, Per-amp, Mono-block Power-amp). I like the sound go through the Isolation transformer than plug my Power amp directly into my Furutech rhodium-Plated wall receptacles., By connect my power-amp with my isolation transformer, which sounds better density, much quiet, more darker backstage, richer texture, more transparency... But I'm afraid will overload my Isolation transformer. Now I'm thinking to buy a Shunyata Hydra Cyclops for my Mono-block power amp, do you think it will bring any benefit for my Power-amp?

My power amp is: Electrocompaniet AW-180 Mono-block

Output Impedance
(20 Hz - 20 kHz) 100 A
THD (measured at 1 kHz
half power, 8 W) < 0,001 %
THD (measured at 1 kHz
-1 dB, 8 W) < 0,001& Noise
(measured with both inputs shorted) 400 Hz - 30 kHz : 90 µV
10 Hz - 30 kHz : 100 µV

Rated output power

8 ohms 250 W
4 ohms 380 W
2 ohms 625 W

Power consumption
(no load or signal) 115 W
What is your Japanese CSE TX-1200 Isolation Transformer rated for?
Or post a link to it so we can read the specifications in english.
By the way, you might find that your mono blocks sound better pluged directly into the wall outlet vs. the Shunyata Hydra Cyclops. Use the isolation transformer for the rest of your equipment.
Just a thought.

Here is the only spec. in English I can give (All Japanese)

Output: 1300W
6 x outlets

Model: TX-1200Z (Same with my TX-1200)

I used to plug my Mono-block power amp into the wall outlet (Furutech rhodium-Plated wall receptacles) but I prefer the sounds coming through my Isolation Transformer. However, I never try Shunyata Hydra Cyclops, that's why I ask someone to share their experience.
What power cords are you using? Depending on your answer...these might be a better first step than a Cyclops...The Shunyata power cords are excellent...
I hope it is not too late with my answer, but I would go for cyclops. They do not have any inner circuit limitation, like breakers or something like that, so they can deliver what your EC power amp needs. I have EC, but less power demanding model, and I am using Isotek Titan in this moment.
Sound is much better when using filter which can handle more then 3kW, because bass is deeper, cleaner, more defined, and all other frequencies get "tighter". I am also in search for Shunyata cyclops in this moment, to find out which is more to my liking: Shunyata or Isotek philosophy for filtering.