I don't think it stipulates a "TOH News" affiliation. And, I don't think Entercom had time to enter into such a contract, as they ran the station for about 2 seconds before iHeart got it.
Entercom agreed to carry CBS TOH news on all the former CBS stations that carried it under CBS ownership. That agreement was passed on to iHeart. So the agreement Entercom made with CBS will be continued by iHeart. But iHeart will also add NBC News Radio content to WBZ. And apparently they will honor a previous agreement made with ABC.
WBZ doesn't seem to need, or "eat up" a lot of CBS Network Content
But in addition to the CBS affiliation, they also had an affiliation with ABC Radio News. So they obviously wanted access to lots of content. Using it is another story. They don't have to carry feature programs, like the ones you listed. Those exist as "value added" for full network affiliates. CBS and ABC also offer long form specials and long form breaking news reports. But AFAIK, there is no obligation to carry them. Each station handles their affiliation as they see fit.