Not really. When people ask for a skip potion, they just want to to skip the restriction to be able to play endgame quicker. The quests will still remain, and people will be able to do them, just later. Meaning that they'd have entered Ishgard, and, after several weeks (or months), would have done Steps Of Faith to gain the right to enter Ishgard. They would have rejoin with the Scions, and then, after several weeks (or months) see them prosecuted for murder and gone missing.
If you join a full team on party finder in Idyllshire for a hard mode primal fight and you see a first time bonus, it will be clear that one of them skipped something...