Would you (or the company you work for) self-host a document signing solution if that were an option? I find it really weird, that there seems to be no obvious option to do so, in a space that so obviously has many reasons to.
Considering how easy it is to generate a public/private key pair it's not that easy and not cheap to get an widely trusted document signing certificate. Especially one with LTV (longtime valid for verifying)
Is this just the market monopoly? If letsencrypt broke it for SSL, couldn't it be done for PDF signing also?