My suggestion is to make the 1871 census available again, or at least explain on the collection page (https://www.familysearch.org/search/collection/1538354) that it is only available to LDS members.
There lots of posts on the community pages, questions online and to support, and often they are responded to as if it is a user problem, rather than a technical/licensing issue.
The 1871 UK Census is not available unless you are signed in with an LDS account, even at index level or in the search. It seems, however, that once a record is attached to a person, it becomes available again.
According to Support, this is something to do with a new agreement between FamilySearch, FindMyPast and The National Archives.