There's no color to help understand how the message was articulated. Maybe Loomis told DA that he wasn't in favor of it, but the team's performance left him no choice, or maybe Loomis said he was ok if DA just kept doing what he was doing, but Benson made him fire DA.
To me, when you have a discussion with the boss (Benson) about performance and options, that's the time to (fiercely) represent for your coach/team and defend a position of waiting until end of season. Maybe Loomis did this and lost. But, if the decision is made to terminate employment of the head coach, a good leader *owns that decision* and doesn't pass the buck.
Looking forward to a brighter future with a coach that is a leader of men and can inspire a team.