When you save a JPEG with settings (i.e. Original + Settings) then you get a copy of the original unedited photo with the edit adjustments embedded as metadata. Unless it's opened into an application that understands the embedded adjustments (i.e. Camera Raw or a version of Lightroom), the photo will be visually identical to the original unedited photo
> So my question is simple : Is there an option somewhere to preserve file integrity using the Adobe Cloud ?
In 'strict' terms - No!
Whether it be an unedited or edited version, the photo on the cloud is a copy of the original and the version saved from Lightroom is another copy. The file creation date of each copy, as distinct from the date on which the original captured, will differ.
By definition you cannot avoid lightroom touching your files if you use the cloud version. It always copies the file over to the cloud and when exporting to originals, it always writes the settings in the metadata. Only in Lightroom Classic can you avoid it from modifying your files.