>> "like the one Snowden used from Ecuador to get to Moscow from Hong Kong"

AFAIK it later became clear they hadn't issued that document and Snowden was able to travel as his passport wasn't revoked until he was already in the air on his way to Russia.

If he was handed travel documents by Ecuador why is he stuck on a Russian airport? I assumed he did travel under his own password wich was still valid when he left Hong Kong.

I think Ecuador issued a document and was studying to offer asylum, then backed off under US pressure.