It’s a private jet, so he actually doesn’t have to deal with security at all and in most cases he won’t be close to the main terminal.
I think, to be completely fair, that the perceived security issue is more that we have a loose idea of what city he might be in. This feels more like a privacy issue than a serious security issue.
Don't the people who actually want to harm musk, and have the means to make it happen, have anyway the means to get the information they need to find him? If it's mildly obnoxious like having to look up land records, they'll just do that.
I genuinely don't see how posting the location of his plane is a "security risk." I don't understand why he gets this added layer of consideration as a person in the airport. They got security at the airport. He lands behind it, same as anyone. He comes through it and his security is in his hands and the hands of the local cops, same as anyone. What's the deal here?