By all means ask the Speaker. He will tell you that after they shut down the government, they got the concessions that they wanted and then went on to lose just 2 seats in 1996 when Clinton was reelected and only 5 seats in 1998.
Gingrich won the battle and lost the war.
Clinton's poll numbers soared and Newt's plummeted and the myth that Clinton balanced the budget emerged.(even though it was all smoke and mirrors.)
Then Newt got run out of Congress.