There is a Double-Switch setting in the "Team Managerial Style" box (under pinch hitting and pinch running). I usually leave it set to 3, but you might wanna set it to 0.
I've been frustrated lately in seeing that the sim only treats some of those managerial settings as suggestions. I always check the box for "Use Mopup Only When Losing", and leave the box "Use Closer In Save Situations Only" unchecked. But for a current team, I've had the Mopup pitcher used with the lead, when the Closer was rested and available. In one game, the Closer had to eventually be brought in anyway, after the Mopup gave up enough runs to turn it into a save situation. I submitted a support ticket, but Admin said the sim engine "will prefer to use a closer in a tie game as well as a save situation. In a non-save situation like this, it would still prefer not to use up the closer... The settings are a guideline that the engine tries to follow, but if there are competing restrictions, then it will disregard some settings." What's the point of having the word "Only" in those settings, if the setting is going to be ignored? That seems like BS.
For that team, I've wound up sending the Mopup pitcher to AAA, and setting all the other relievers as either Long A or Long B. It's frustrating, but better than risking that the Mopup pitcher will eventually blow a lead and lose a game.