there is no misinformation.
there is a scope of understanding which is needed to understand what is meant by automated. Unfortunately, Cryptography and SSL Certificates are a topic which requires investment and understanding.
Let’s Encrypt is hinged on the ACME protocol. The ACME protocol defines a machine to machine specification for obtaining a certificate
some things to understand
As a public CA le’ts encrypt needs to meet the requirements set out by the CA Browser Forums (proving ownership of a domain)
As users of ACME have to prove ownership there is a direct relationship between how automated the process is. If you use a well tested web server or hosting provider or a DNS provider which has an API your chances of meeting the requirements to prove domain ownership in an automated way are high
Communications between you and Let’s Encryp is done via a client (there is no portal or interface as it is a machine to machine methdology)
Most clients require installation and access to a command line
Some clients are integrated in to control panels
Not every web hosting will work with Let’s Encrypt this is more with how they operate
There is a list of web hosting companies that work with Let’s Encrypt in an automated way 
Web Hosting who support Lets Encrypt
Hope this helps
Andrei