DBP is a programming language, not a game engine. (you can create a game engine with it but it is not the engine)
FPSC is a game engine, not a game. (you can create a game with it but it is not the game)
These statements of course are only opinion and not fact, because it depends on the individual's definition.
If you think that the defintion of a game is ...
"A game is a structured or semi-structured activity, usually undertaken for enjoyment and sometimes also used as an educational tool. ".... Wikipedia
Then yes, FPSC is a game.
But then it goes farther to say..
"Games are generally distinct from work, which is usually carried out for remuneration, and from art, which is more concerned with the expression of ideas. However, the distinction is not clear-cut, and many games are also considered to be work or art."
This is where I make my distinction.
Creating games as a non-profit hobby or for fun is using FPSC as a game.
Creating games to sell for profit constitutes work, and thus makes FPSC an engine and not a game.
So, I guess it can be either.
Again, it depends on the individual using it and what their intentions and definitions are.
All of the "game" debate is off topic anyway.
Vernon gave the right answer to his question.