I believe Wallace stays there because like other journalists he likes not being told what his opinion is by the station...
Try to find a host on CNN or MSNBC that rejects progressive liberalism ideology or criticizes it on a regular basis. Those that have rapidly find themselves "cancelled".
Fox to its credit while clearly a right leaning media outlet often includes as guests with the totally opposite view of conservatives to provide its viewers the "liberal perspective". People like Juan Williams, Christopher Hahn, Leslie Marshall, and others.
Wouldn't it be nice if all media outlets were required to present opposing views in order to preserve their licenses. I remember when I was young, news outlets made a point of telling you at the end of a broadcast their opinion on an issue, but generally did a pretty good job of keeping opinion out of the news...