It's a real sh!t when you are number two... When I sequence my approaches it seems like I always have a number 2, often a number 3 and a number 4...
There is very little opportunity for Approach/Director controllers to amend the sequence to favour one carrier over another, that is done much further out than on downwind.
I can state however, if I had a dead-heat, in the past (cause now it would be a sackable offense - now it's just a random choice
), I would pick the carrier who did offer favours (discounted travel rates, Christmas drink sponsorship etc) over one who didn't... But I certainly would not have ever considered making a definite number 1 number 2.
I would simply ask for or find out the facility phone number, ring and ask why it 'appears' you are always the statue and not the pigeon. You may find it very educational.