Is this an Anderssen's mate or Opera mate? Is this an Anderssen's mate or Opera mate?

According to Wikipedia, Opera mate uses losing's side pawn to restrict its own king. In this position, f7 fulfils that requirement. 

But it also fits the description of Anderssen's mate. 

I fail to see the difference between Anderssen's mate and Opera mate except for the blocking pawn.
I assume you took the mates' definitions from here. Then, it fits the description of the Opera Mate but I don't think that's intended – a 'real' Opera Mate doesn't happen in the corner.

Then again, those two terms aren't commonly used anyway. I bet most grandmasters will have to check Wikipedia as well to find out what they mean. Of that list, just a handful are common knowledge (the back-rank mate and the smothered mate being the most well-known).