No, that's not how it has organised it. When I set the machine up about a year ago (haven't really played it since then) I just let LB organise everything into categories, download videos etc etc. So it's not different arcade platforms, but categories like "Nintendo classics" "CPS2" "Atari" "Shoot-em-ups" etc. Once into the categories menu, random videos play in the background, under the wheel. The only way I can get to categories is to choose "Platform Categories" as the startup, which then starts on a wheel where every option is "Arcade", and after it fades out, it just stays on a black screen until I hit the select button, then it shows the category wheel. I have tried every startup option - some just do nothing - no wheel, nothing happens after hitting select, one of the options just shows an ugly looking list which seems based on the directory structure, or I can show all games in one long list. It took a bit of time to test them all as I have to reboot after every settings change so that BB reads the new settings (I need to plug a mouse in I guess!)
I'm probably just looking for it to do something it's not set up to do - I guess most people have more than just Arcade games on their machines. I wrote a Windows app last night to inject a keypress after a process appears, which I haven't transferred to the arcade machine as yet, but should fix the problem - just need to get the timing right after BB launches!
I have put in a feature request to skip wheels with only one option, which would fix this issue in BigBox.