I don't have a problem with "but I can never be important!" arguments because they are, in Traveller, patently false. Sure, you can never be EMPEROR, but that job is frankly pretty boring in a gaming context.  You want to be a Duke?  We can swing that, even if certain *specific* Duchies aren't available.  Business magnate?  Pah, the Imperium is swimming in them, so there is always room for one more...