If they give her immunity, she will tell them nothing and the committee will be left with indignant outrage and there isn’t a damn thing they will be able to do about it.
There has been a precedence that already been set back in the Reagan years.
Remember?
Court order? They’ll be back to square one with the Fifth Amendment and still not get answers.
Ah, but under oath if she lies she may be prosecuted. So if she takes a 'deal' and then lies- she goes to jail.
If she is subpoenaed and lies- she goes to jail.