Maybe if online gameplay is not included in the next SIREN game, then how about online leaderboards based off of the storymode? Kinda like how offline high scores where in SIREN: Blood Curse, but in an online leaderboard form.

No thanks. It's just not needed at all. The only thing leaderboards do is encourage people to be huge arses and think they are Gods because they reached the number 1 spot when they most likely abused a glitch to get there. A fine example of people like this can be found on RE5 online. The only person I want to compete with on Siren is myself. Leaderboards have no place in Siren.

Only if there is some sort of online multiplayer. I have an open mind to such things in horror games; if it could be done well, I wouldn't mind.

Just a leaderboard? No.

It kinda reminded me of the Devil May Cry leaderboards which was really disregarded by most of the players. Leaderboards would be good if there were any kind of real time online competition.(MGO as an example) . To be honest I'm kinda pessimistic on the idea of the next siren having online support. It just doesn't feel right for me.

They should use the multiplayer sorts they used in Demons Souls:
seeing ghosts of other players
Other players playing the boss for boss battles
Other gamers can invade your game which was very intence

I disagree with the leaderboards. I'd have to agree with Jolly Doll because people with gamer anonymity can get pretty competitive. You don't want SIREN turning into some twisted form of Call of Duty would you? XD