Linkages?

[Krimbo]

Alright.
Before even finishing Overture I've just bought Black Plauge and Requiem.
I'm currently doing a Let's Play of Overture but I'm thinking of playing black plauge or requiem as just me playing it, not bothering with doing a series on it.

I was wondering.
do these 3 games link story wise?
I don't want to ruin the rest of Overture by playing black plauge or ruin black plauge by playing Requiem.

I might Let's Play BP so I'm hoping to play Requiem just myself.

Views?