We didn't password protect our wedding website. There was no information on there besides the date, which has been on our social media, so it's not a secret. We didn't give directions, put the time of the ceremony, or our venue. You could probably figure out our venue based on the surrounding hotels, but we don't have anyone who isn't invited that we're worried about crashing our wedding or anything, so it didn't seem necessary.
Daughter did password protect. They didn't want random people to easily find all the details. Their guest list max was 100 people (and half of that was family). Knowing there were people might expect to be, but who weren't going to be invited to the wedding, they tried to be fairly low key about sharing details to minimize the questions and comments. Except for the fact that they got engaged, they didn't post info about the wedding on social media.
I'm going to password protect mine because, by the time of the wedding, I'll be working as a therapist and don't want clients to be able to find such personal info. I want to maintain my and my partner's privacy.
Certain portions of the wedding website are actually password protected such as the wedding venue, and the rsvp portion. I don't want random individuals or people that have caused us issues in the past to be able to access this information. We're pretty serious about this.
There are a lot of nosey people around us and I didn’t want people to have access to that information. Some of our friends would show up to the hotel although they’re not invited or people will act like guests just to see if they can get in. Other people would just snoop and we’re not sharing It with them. So, we chose to password protect our site.