I can now confirm after countless tests and pad swaps, like someone else did here, that the JVC HASZ1000 and 2000 will sound best with Brainwavz HM5 Hybrid pads. I used several other pads as well as brainwavz' own angled sheepskin which wont be too far from regular sheepskin or pleather pads.
With these pads, 1) discomfort issues are minimized and too much clamping is eased. 2) space is increased for comfortable ear resting and distance from drivers is improved/increased. 3) the canny sound is improved and cans sound better, though still in-the-head sound (as is with most closed backs), it still gets relaxed and gets better. 4) some compromise is met where bass is slightly lowered, and so is the volume, but this can be adjusted by raising the volume relatively, which still isnt too much for the drivers to bear.
Just a slight bass and head-shaking compromise for improved sound and much improved long sessions.