I don't really play NTR, it's not my jam but I am not bugged by it. In various playthroughs of ASWS I have opened some paths, but I generally don't.
So if you are against NTR you can totally avoid it in ASWS.
But if it is your jam, strictly because of the amount of LI's in this game, there is a lot of NTR if you want there to be. For more detailed explanation of what's there, look at the online walkthrough, scroll to the NTR sections for Mira, Kate, Frisha, Penny, and Julia. There are a lot more than that, but that will give you a good sense of what is available.
So it is completely true that based on how you want to play, it can either by NTR heavy, or no NTR at all. Like Storm said, there is a option to turn it all off. And even if you leave it on (my playthroughs usually have the switch on, but no NTR paths explored), you have to actively choose to make the LI look elsewhere.
A couple of quick examples, after you have sex with the local baron's daughter, if you tell her that she is a bad fuck, she will go looking for a character that will give her practice. You can pimp out the local bar maids, (though I don't know if the second has scenes implemented yet), or you can force your childhood sweetheart to catch you fucking a girl in the next room, she will ask you if she can fuck around too, you can tell her yes or no. (Fucking her sister and mom doesn't make her want to fool around with the other guy though, just the one girl.)