First of all: A poll, are you crazy, you know happens with polls, especially if they are important polls.

OK to answer your question.
If the games are big complete games then yes you should count them but maybe separate them.
Like: I own 2000 hard copy games and 20 digital copy games.
That way people can separate them , if they don't like digital copy games.
[TIME FOR MINI RANT]I hate digital copy games because I want the manual and the cover in tangeable form.
Also if the game is only in digital for, manufacturers can at any point remove the game from being available or even playable if they so choose.
So when consoles go to download only games, I quit buying them and pleasure myself with my old good games.
[END OF MINI RANT]