My experiance with distiller water is same as yours
Mine was tested electronically too and it reads
5-5 on avarage.I would only drink that water if
It's structured. Unstructured water is not good,
It's chaotic, all fruit and vegetable water is structured
But once it's distilled it becomes chaotic.
Distilled water can read ph 7.0 but only after it's spun in a vortex.
I prefer ionized water though over distiller at about 8 to 8.5 ph.