waterbomb0
With the EV certs, you can be assured that it actually belongs to the company it claims to belong. If I see "PayPal, Inc. (US)" in the address bar, I'm sure I'm accessing the correct server. However, I didn't really know that business names are not unique between different US states, but I assume this is not the case for other countries.
The issue with EV certs is how they are presented in the browser, since they are indistinguishable to the ordinary certs, at least to the majority of the users.
The minor difference is that with OAuth they cannot log-in to the site pretending to be you, but if they don't hash the passwords, or use weak method to do it, then it's possible.
Regarding other user data stored in the DB (which is usually more valuable than just the passwords) there is no difference between the login method.