Yes it would. But the trailing "/" in the source makes sense and is not ignored. If there is a trailing "/", it will only copy the contents of the source folder. But if you ignore the trailing "/", an additional folder would be created in the destination.
rsync -avh /home/backup/ email@example.com:/home/destination
Will not copy backup directory itself, but only the contents of the backup directory.
rsync -avh /home/backup firstname.lastname@example.org:/home/destination
Will actually create a new directory called "backup" in the destination folder.