I don't think anyone can put 'SE' after their name just because they're a PE practicing structural engineering. If you're a PE practicing structural engineering, like myself, you should put PE after your name. But if you pass the SE and are licensed in any state that recognizes SE licensure then you can put 'SE' after your name, regardless of where you practice, as long as you don't suggest you're a licensed SE in a state that you are not. So, if you've passed the SE exam, which is basically a prerequisite of applying to SECB unless you've taken the exams awhile ago or an odd combination of exams, you would likely put 'SE' after your name on your business card and email signature, regardless of the state you actually practice in. Why does 'John Smith PE, SE, SECB' mean anything more than 'John Smith, SE' to anyone who would be hiring John or his firm? Seems like more letters behind a name to make someone feel like they've achieved something more than others with only 'SE' after their name, when in reality it just means you're paying another fee to be a part of a board that doesn't clearly define what they're doing.
If I happen to pass this exam at some point I'll gladly pay to be a part of a board or group that provides some type of service or increases my value, but the website makes it seem like you should apply so you can have the prestige of putting 'SECB' after your name, which seems a little misleading.