In 9.6 and earlier, if you change pg_stat_tmp to be a symlink, basebackups no longer work. That's because we create symlink entry in the tarfile for it instead of an empty directory, but with no data, which Breaks Everything (TM).
This was fixed in head in 6ad8ac60, which introduced "more excludes", due to the refactoring. That commit message refers to it also fixing this bug, but it seems the bugfix was never backpatched.
Or did I miss something?
Attached patch fixds this (based on 9.5 which is where I ran into it, but it needs to go in other back branches as well) by bringing back a (modified) version of the functoin _tarWriteDir() to the back branches.
I'd appreciate a look-over before committing, but it works fine in my tests.