I don't think so. LE and LG are (along with the chaotic corner alignments) sometimes refereed to as extreme alignments and people don't usually go for extremist positions. If presented with the benefits of a society run in accordance with LG goals and methods, a LN citizen would probably say something like "That's nice. Glad somebody's doing something about it," and then go about the rest of their day. A similar response to a LE run society might be "That sucks. Glad it wasn't me." I feel like most LN citizens would live their lives in accordance with the rules without ever really engaging with the Good or Evil aspects of those rules.