What do you consider the intent of the (personal) POV perspective if it isn't immersion?I disagree. I do not think the whole point is to "insert" yourself into the story. I know people do that and good for them. Play how you want. Many, however, do not. They view these games more as a voyeur. They tend to be less vocal because they are not invested in the characters. These are adult VNs. To be crude, they are fap material. There are plenty of VNs that have romance and adult themes without graphic sex. Your argument would make more sense, to me, if you were referring to those type of VNs.
A reader choosing not to immerse themselves in the perspective doesn't cancel the intent...