Greentext

No, not at all.

The two victims of the first movie, Adam and Dr Gordon, have very little connections to Kramer himself. Gordon was the oncologist who diagnosed Kramer/Jigsaw with cancer, and was cold/uncaring. Kramer’s investigation later revealed that he’s cheating on his wife, and said wife hired Adam, a photographer, to get evidence.

The second movie, most victims are “wasting their lives”, plus a bunch of violent criminals, and of course, the (corrupt) lead detective’s son.

The third movie revolves around a boy’s death - his parents, the drunk driver who killed him, the judge who went easy on him, a witness who refused to testify, etc.

Saw IV: yet another group of “life wasters” plus Kramer’s business partner who screwed him over.

Saw V: a bunch of people whose begoigen caused a deadly building fire.

Saw VI: insurance claim denial chain (Luigi’d them)

Saw 3D: a fake Jigsaw survivor who’s cashing in on the lie and all the people enabling him

2017 movie: criminals and their enablers

But you’re not entirely wrong. The first actual murder/test Kramer did was revenge on the junkie whose actions led to the miscarriage of Kramer’s son. His wife, however, dies later, AFTER Kramer himself has already died.