You are right to think that. Interesting story about what we do have, though:

The original version of the film is no longer preserved, as the film copies were banned and destroyed. Because of this, large parts of the film were lost beyond recall.[9] The current versions of the film were reconstructed from the shortened version of the film in Laws of Love.

More about Laws of Love and its survival:

Magnus Hirschfeld also filmed a documentary film entitled Laws of Love (Gesetze der Liebe) in 1927 which used a shortened version of the film Different from the Others to discuss the subject of homosexuality. Shortly after it was released, Laws of Love also fell to censorship laws, but not before a copy made its way to Ukraine, where it was subtitled in the local language. This version of Laws of Love was discovered by the city museum of Munich in the 1970’s.