9:21 p.m. on July 26, 2010 (EDT)
Note that they started the count at the summit of Denali, not the start of the climb, much less their arrival in Talkeetna to await clear enough weather to fly onto the glacier. This is the real problem with this kind of "record". In my various visits to Denali, I racked up a total of a bit over 3 weeks sitting in tents at the 17,000 foot camp (the high camp that is only a few hours short of the summit) and a bit over 2 weeks sitting in tents at Genet Basin (the 14,000 foot camp).
I have visited a number of State High Points, and gotten weathered off several - for example, New Mexico's High Point, Wheeler Peak, where I, along with another hiker, turned back in a September whiteout blizzard less than 500 feet from the summit (I have also been on top of two other Wheeler Peaks in other states). Plus, I have driven to the top of several, including twice to the "summit" of mighty Mount Sunflower (High Point of Kansas, close to the Colorado border, a couple miles off Interstate 80). Quite a few of the High Points are drive-ups (including one which is on a road crossing the state boundary - stop right at the border going uphill into the neighboring state).
It is possible to pick off clusters of High Points, in some cases a half dozen in a day (short drive, park and walk 50 to 100 feet, take a picture, run back to the car and head for the next - you do need to consider traffic, though).
The western High Points are a bit harder. Alaska (Denali), Washington (Rainier), Oregon (Hood), Idaho (Borah), Montana (Granite), and Wyoming (Gannet) are all technical climbs (Class 3 or 4, with Denali Alaska Grade 2). California (Whitney), Nevada (Boundary), and Utah (Kings) are either long day hikes or require a backpack camp. Arizona (Humphreys), New Mexico (Wheeler), and Colorado (Elbert) are moderate day hikes. All of these are a full day's drive apart, and all are subject to significant weather.
Point is, luck with weather plays a part.
Now, the other question is - is it fair to drive to the top of the peaks you can drive to (16 of them are considered "drive-ups")? In other words, is it fair to take the toll road to the top of Washington (New Hampshire) or drive to the top of Mitchell (North Carolina), when there are really nice hiking trails? Mauna Kea (Hawaii, ok, you have to walk almost a quarter mile from the car, which removes it from the "drive-up" list) is only accessible as a drive, so that's probably fair, as are Sunflower (Kansas), Panorama Point (Nebraska), and Indiana's unnamed high point (but you need to call the landowner, a very nice lady who invited me to stop by for refreshments). Many of the eastern US high points are either driveups or within 100 feet of the parking lot.
Lest anyone think I am a "High Pointer", far from it. I have visited 12 of the 50 (and still lack one state of having set foot in all 50 states - somehow, I have never been in North Dakota).