I have two HX One's. I never had any noise issues with the first one, including when using it with other drive pedals, but I had never used it in 4CM until recently and I usually had it set to true bypass.
I got the second unit used. I immediately had noise issues with it, but I eventually figured out that both levels had been set to line level. Once I set them to instrument level I had no problems.
After reading about the 4CM noise issues people reported, I tried both of my units in 4CM with both an amp and a Boss IR-2. There was no doubt that it raised the noise floor significantly. I personally wouldn't say that it brought the noise floor up a crazy amount, but both units definitely added noise. It was readily apparent if you switched to true bypass mode while an effect was activated. It did not make the HX One unusable to me, but the issue was readily apparent.
It would be nice to see more controlled comparisons across different units in which we know none of the settings are "off"--- line level being used in the wrong context, for example. It would also be nice to know if people reporting no noise in 4CM have actually A/B'd it with the HX One true bypassed (either internally or externally), or maybe even if some folks haven't had amp volume levels high enough to notice it. Power supplies being used might also make a difference.
Anyway, it's hard to know what to make of wildly differing reported experiences with noise issues and the HX One. Given that both of my units have the issues in 4CM, I doubt it was just a "bad batch," but who knows?