One of the benefits of protected content in Ghost is that it’s truly protected. There’s no way for visitors (or bots) to disable JS/CSS and access the content - but it’s still possible to select a content access level for each individual piece of content. We also released a public preview feature recently, which allows you to protect part of a post and give the search engines more content to crawl on the page.
We currently use a system (without name dropping) that allows all articles to be fully indexed. It detects all search crawlers and disables the wall for them to allow a full index.
You might want to check that the system you’re using has proper structured data markup in this case, to make sure the SERPs don’t think you’re cloaking. More info here: Feature request: members-only content need appropriate schema markup