@cfrank yes, well I guess the problem can exist at a lot of different levels.
Individuals can certainly vote strategically, and effectively so, under FPTP. Under approval, they almost have to. (unless they truly do think in simplistic black and white "like" and "dislike" terms)
I am also concerned about forming parties and eliminating candidates through primaries (etc), which FPTP strongly incentivizes. To be honest, that is the biggest problem because it causes so much polarization.
I am less clear on how organizations could game it through computation, although I don't doubt it is possible. They certainly do that with gerrymandering, with a lot of sophistication.