Have you considered the logistics of a vice president going to a hospital emergency room? The first consideration is obtaining and providing care, not secret service protection and disruption in a very public hospital.
There is no evidence that Dick Cheney was drinking and to suggest that he didn't go to the hospital because he was drinking is ludicrous. Do you think that the hospital does its own investigation? The proper authorities were notified immediately. With regard to Ted Kennedy, he was drinking and that is very likely why he went to a hotel, stayed there and didn't come forward until the next day when her body was discovered. Why are we talking about Ted today? Because he holds public office and got away with at least, negligent homocide and evading responsibility and most likely DUI.