I think every game does count as the SPI is based on you high scores in each game. I never got Bass Detective in my daily workout but I have the EQ mirror there quite regularly. I think the bass detective is excluded maybe just because it requires higher end monitor device to complete. You have no chance doing it with cheap headphones.

Hi! Bass Detective can be activated in Account Settings/Training Preferences.

yes, you sometimes need to click bass detective on and off in your training prefs to make it appear.. think it's a bug