caution! This Answer may only be applicable for Germany / the German intellectual style described by Johann Galtung in 1981.
I suggested my supervisor to put my dissertation into a publicly available Git repository. So she or others could peer review it at any time. Suggestions or changes can be merged or rolled back depending on my decision if to accept pull requests or not. A repository saves all the documents history and is offers absolute transparency about the contributions of others (corrected typos, named a new source and so on). Issue tracking can be used to organize open tasks (e.g. chapter needs more clarification, shorten this part, add an example ...)
She found the idea nice, but advised me to wait with experiments like this until I have received my degree with a classically published monograph.
One problem I see lies in the structure of the science community and it's particular public particular industry founded fiscal base. The system makes scientists or research groups to competitors. So no one pre-publishes works or data outside of the (mostly double blind peer reviewed) journals etc.
The in-transparent and anonymous review comments that you receive mostly contain more offense than helpful constructive criticism.
The scientific discourse, as I experience it, sadly relies mainly on concurrency instead of collaboration. No one risks that another scientist or team publishes first and in doubt receives the founding they (both) applied for.