I think there is a difference in using the whole name of the real GLO and the nickname. Take Kappa for example: There are other GLOs which are known as "Kappa" even though KKG was founded 1st and was referred to as "Kappa" before the others. I was watching "Something to Talk About" last night, and Julia Roberts' character had invited Dennis Quaid's character to a "Chi O Sadie Hawkins" dance for their 1st date. Even something so obvious can be explained by saying the "O" could mean omicron and not omega. Don't know about using the official name of a real GLO though. The characters in the play "Vanities" were KKGs, but I don't know if it caused any legal problems (this was many years ago though).
IMO, I think the storyline for "Legally Blonde" worked better having the fitness instructor being a Delta Nu instead of something different. I haven't read the book, but I think the movie emphasized the depths of sisterhood with both Elle and Brooke being DNs.
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