I think it should remember its state -- so if you close while minimized it should start up minimized -- that's the idea anyway.
i could make it an explicit option though.
Yes, that's the way LBC works for me. I was surprised and delighted when, after being minimized to the tray, it opened minimized the next time I started my computer (and from then on). I think it would be great, however, if you could make an explicit option. I remember looking for one and being disappointed not to find one. I didn't realize at first that LBC was smart enough to remember what I wanted without my telling it.