Upvote:2
Do we really have no way of referring this back to UK Visa as stated on the Refusal Notice?
I believe you'd have to show that the ECO ignored provided evidence. Usually the refusal letter states exactly what evidence the ECO considered. Often they say something to the effect that, even though someone else is paying for everything the ECO is required to make a decision based on the financial and personal circumstances of the applicant. Note that the ECOs don't make the rules. Disliking those rules is not grounds for an appeal.