No, i think that the worlds are different. In Silver-eyed rein's world, Valeta was dead already (in the novel she was killed by rein on her birthday), but in the suicidal Valeta's world, she wasn't killed on her birthday and never received Rein as a pet from her father, thus ending up with the Prince as his prisoner. So, the worlds are different.
She didn't, tho. The MC Valeta mentions that in the novel that Rein killed Valeta on her birthday, therefore the novel would be the OG. That's the whole reason Valeta was scared of Rein and waiting for the birthday she would be killed on. (at least that's what I remember reading). Because OG Valeta was obsessed with Rein and treated him like a pet/lover, she was killed.
Damn the other Reinhardt is more psycho and pervert hahaha