Dedicated wires may not make much difference. You either get enough power during transients or you don't. Like I mentioned, the power is coming in dirty to having a really high quality wire to preserve the dirty waveform doesn't help. I'm not familiar with your power conditioner but it sounds like it is working for you.
I'm not sure what european country uses a neutral wire. I bought a european amp and it expects to see 240V+, 0V, and then a ground for protection only.
Unless you have 4 wires, 2 hot, 1 neutral, 1 ground, I would suspect you have the 3 wire configuration I described above.
BTW, the dirty power I'm describing at my home is supplied to my amp by a dedicated 10 awg 240V circuit. Not sure it makes much difference but I know for sure I'm not short of power to my amp.
Jerry