Sorry for the late response to this thread - i've experienced a similar issue. Very slight 'fuzziness' around any - ANY - sound I use. Tried different guitars, cables, power sockets, headphones, studio monitors, all the same issue.
So... boot up Helix, select a patch, turn up the volume and there it is: with or without playing. When I do play a note, it lifts a little, and you can hear it on the decay. Interestingly, if I gate the patch, the 'background fuzziness' disappears, though I still experience the same issue when playing a note. Adjusting the input-z downwards helps reduce it, although that clearly fiddles with the tone as well, and doesn't entirely remove it.
It's been driving me bonkers as well because I can't get a properly clean clean sound without it there! Not so much of an issue when playing strong, high volume stuff, especially if there's some overdrive on it, as it tends to get masked.
Suggests software / modelling issue to me rather than any specific patch or an issue with my kit.
Has anyone else found a solution? I haven't tried a factory reset yet...