Speaker is not considered Executive Experience by definition. It doesn’t have the same authority or responsibilities.
If any Speaker of the House has demonstrated Executive leadership while gaining and using that position to nationalize elections, and herd cats, advance their entire party, and create history, it was Newt Gingrich.
We saw what we saw there, and regardless of what the normal definition of speaker may be or not, In Gingrich’s case, it showed the nation that he was a true executive leader.
Romney demonstrated the opposite in Massachusetts, the definition fit his job title, but he did not display executive talent in his failed roll as political leader.