I think making a halachic permission of nursing in shul goes beyond simply looking the other way. Same with recommending donations to rebuild a church and other ‘heterim.’ Also, by looking the other way, they are more or less condoning an action. ‘Celebrating’ toevah marriage isn’t far from endorsing it, but that is more difficult for them to permit because it is explicitly banned in the Torah.
I’m not sure if it’s halachically different than financial crimes, but I don’t see why it should be.