I'm not sure spending several months refusing to meet with House leaders to work through a bipartisan resolution shows much bipartisan commitment.
Couple that with the fact that the republicans can't find anything bad to stick on him because he's a generally nice white grandpa kind of guy who has avoided serious scandal his entire political life, and only the hardest of hardcore republicans think he's a bad person. (the people who actually believe the silliness about Hunter Biden that the untrustworthy failure of a human being Giuliani has been pedaling for years.)
Regardless of what the press has reported, the latest issue with bribes from the Ukrainian energy company has nothing to do with Giuliani, and the Big Guy actually did solve their problem by threatening to withhold financial support to the country unless the prosecutor going after them was fired. That seems kinda fishy to me.