The offset dish will be slightly higher than it is wide. The view of the offset dish to the satellite (and therefore the signal), will be a round surface to reflect the signal. Also, if you view the dish from the point of the LNBF, the dish will appear round as well. If the LNBF were at the centre of the dish, like a prime focus dish, the dish would be round, and appear round to the LNBF. Because the LNBF is mounted at an angle to the dish, the height of the dish has to increase to make the dish appear to be round to the LNBF. The greater the offset angle of the LNBF, the greater the height of the dish has to increase to effectively be the same size dish, or appear to be the same size to the signal and LNBF. The important thing to remember is that to the signal, the dish appears to be round. It is because of this that the feed horn on the LNBF can be round, and that it is possible to rotate either the LNBF or the dish to adjust the skew.
Now, with an eliptical dish, such as with the StarChoice dish, the feedhorn is not round, but looks oval for the feedhorn looks at the entire dish. This is why you need to turn the dish and not the LNBF feedhorn. If you see some of the earlier StarChoice eliptical dish's they had a single LNBF (for only reception of the one satellite) with a odd looking feedhorn for the LNB had a view of the entire dish, and only the dish. With that dish you adjusted the skew by rotating the dish and not the feedhorn.
The offset of the dish has nothing to do with the skew. You set the skew by turning the LNBF or the dish itself. A 22 degree offset dish, or a 45 degree offset dish will still have the same skew setting.