May be I am missing something, but when upgrading from 3.3.3 to 3.3.6 there is no need for a licence change. License changes are when going from version 2 to 3 or 3 to 4.
And if I remember correctly these license changes from 2 to 3 for instance are done via web. So no need for human intervention. And I think it is much faster then next day. If I recollect well it is almost instantanious.
Regards,
Ronald