All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
If these games are as you mentioned in the question, then they are based on some false beliefs that involve Shirk (associating partners with Allaah). The first game seems to endorse the belief in reincarnation, whereas the second game seems to be intended to consolidate the doctrine of providing sacrifices to gods as a way of requesting victory. Therefore, it is an obligation to avoid such games and repent from having played them. The conditions of repentance are mentioned in Fatwa 86527.
In general, computer games are like this, hence parents should be aware of this and be careful what their children are playing.
The Fatwa which you referred to clarifies the general Islamic conditions for computer games. So, any game that is in accordance with these conditions, there is nothing wrong with playing it, but if it includes any falsehood or promotes such falsehood, then it is not permissible to play it. We have also clarified in that Fatwa that a Muslim should preserve his time and not waste it in playing, as time is too precious to be wasted without any benefit.
As regards your statement: “it might be said” or “the author said”, then we did not exactly understand what you mean by it and what it refers to, but in general you now know that if a game includes what is forbidden, then it is not permissible to play it under any circumstances, and saying such expressions that are mentioned in the question does not justify playing them and it does not clear one from sin. For more benefit, please refer to Fatwa 91710.
Allah Knows best.