The EX1000 stock cable has 4 wires at the plug. I bought a 2nd hand EX1000, which had a working short cable, but the long cable (ex1000 cable) had a broken wire close to the plug. Moving the wire, you could hear the connection being made intermittently. I was OK with that, as I intended to re-terminate to a 4.4mm plug anyways. When I did, I found that the wire strands are litz, with insulation around each strand that I had to burn off with the soldering iron/hot solder first, before soldering onto the plug. So yes, the stock cable definitely has 4 wires at the plug end and can be used with the 4.4mm balanced plug. I still have difficulties soldering onto those small plug contacts. Might be the wrong soldering iron, my solder (WBT 4% silver) may be too old, etc. I managed to complete the job and get it working, but it was not a nice quick job. I was really struggling with it. I notice the shops and people used to doing it have a much easier time, so I still have some learning/practice to do.
Oh, the stock cable sounds pretty good on the 4.4mm. I did not spend much time on the SE TRS, so can't really give much of a comparison, though.