Bill Frist did all three morning shows with Hillary Clinton in tow today on new bipartisan health-care initiatives aimed at better information-sharing and less medical mistakes. It’s odd because Sen. Frist and Rep. Hastert are very rarely interviewed on morning TV. Well, House members in general are almost never interviewed, and the Senate slots are usually divided by Biden for the Democrats and McCain/McCain wannabes for the Republicans.

The senators, oh shock and awe, got differing treatment. NBC’s Matt Lauer pressed Frist to retract his claims about Terri Schiavo’s responsiveness on the Senate floor and admit he was wrong, and then turned to Hillary and asked her if Guantanamo is a black eye for America. ABC’s Charles Gibson also pressed Frist with two weren’t-you-wrong-on-Schiavo questions, but no toughies for Sen. Clinton. CBS’s Hannah Storm asked generically about Schiavo, and asked Hillary about President Bush’s complaints about Democratric obstructionism (not bad, but how about her wild remarks last week?) She asked Frist about how Democrats want more informaton about Bolton.

PS: On the Clinton coverage front, Brent Bozell compares the liberal target practice on Neil Cavuto’s “softball” Bush interview on Fox with the near-zero notice of Greta Van Susteren’s servile Bill Clinton interview on Fox here.