First off it is horrible that your D find that card and I would totally call your W on it. Just that she shouldn't leave stuff laying around for your kids to find. Unfortunately your children now will be more likely to be cheaters.
Yes and no. I know a lot of children of cheaters that are vehemently opposed to it as adults. I have one friend in particular that will not have anything to do with friends that have left their spouses for other people.
M(53), W(54),D(19) M-23, T-25 Bomb Drop - Dec.23, 2017 Ring and Piecing since March 2018