Raw your points are sound but forgetting one important point: Cox plate field will probably only have 9 horses in it. Even if she's last, she'll only give him 6 lengths max in the run, unless they go real quick in front (and if they do that, she bolts in). What is likely anyway is that they will try to settle her about 5th-6th in the run. They're not idiots, they're not going to conceded 20 lengths to lad of the manor and try to run him down, not to mention Fields of Omagh (who I think is as good a Cox plate chance as the Lad). What's likely is Lotteria will lead if in the field, Fields and Lad sit about 2nd and 3rd each, about 1 length off speed, she sits 6th-7th at worst, 5 off speed. Down the side, they coax her forward so she's within 1-2 lens off them on the bend. That's how they'll ride her. Reason: they're setting her for this race. They weren't setting her for the Feehan, that's why they put her to the tail. Even in her Melbourne Cup runs, she settles midfield.

Then, in the straight, with the weight pull on the top two and more ability, the result will be a foregone conclusion.

HOWEVER!!!!!!!!!

(and this is a big however)

There are two horses who can beat her, even if that all happens as listed above. Super Kid and Greys Inn are both extremely good horses, both of them better than Lad and Fields of Omagh. That is unquestionable. They are both better horses than Fields and Lad. They could quinella it.