A lot of them start off upside down on the plant but certain types will flip back to normal after they've grown to a particular size.

I know you mentioned google but did you check Google images also?

One thing about peppers, people don't always discriminate when they name or identify them. People will sometimes give the same name to 3 totally different peppers. The best thing i can think of, is go to a few recommended seed sellers and check out their pictures of the Aji Dulce. If none of their pictures match then i'll bet that restaurant got the name wrong.

Recommended pepper seed sellers: http://www.thehotpepper.com/topic/11131-ordering-pepper-seeds/

Pepper seed search engine: http://www.google.com/cse/home?cx=015290501503124545082:lxf76mcmv_a

Here is a link that might be useful: Aji Dulce Google images