I wonder why Yellowstone gets the "special treatment" as AASHTO route gap, yet other parks allow routes to continue officially through them.
This has been discussed a number of times on here, but a new thought just occurred to me: it's possibly because there are no other examples of US Highways crossing a park where the park predates the establishment of the US Route System in 1926.
Here's a list of national parks established before 1926 (I realize I'm leaving out a little history on some of these):
Yellowstone NP - 1872
Sequoia NP - 1890
Yosemite NP - 1890.
Kings Canyon NP - 1890
Mount Rainier NP - 1899
Crater Lake NP - 1902
Wind Cave NP - 1903
Mesa Verde NP - 1906
Petrified Forest NP - 1906 as NM, redesignated NP 1962
Lassen Volcanic NP - 1916
Zion NP - 1919
Glacier NP - 1910
Rocky Mountain NP - 1915
Hawaii Volcanoes NP, Haleakala NP - 1916
Denali NP - 1917
Grand Canyon NP - 1919
Hot Springs NP 1921
Bryce Canyon NP - 1924
Of these, only Rocky Mountain NP shares the distinction with Yellowstone of having a US Highway cross it, but US 34 didn't get extended through the park until 1939, and US 36 didn't enter the park until 1978. And while there are a few US 34/36 directions in the park itself, the routes really aren't signed in there.
Petrified Forest also had a US Highway (66) crossing it, but I think the Painted Desert section it crossed was added to the park later. As for the rest, none have US Highways crossing them - that is, enter on one side, exit on another. So Yellowstone is pretty unique in that regard.