You are raising the ceiling, not chasing a sprint
Three things get better when you add a little intensity. Your VO2max (how much oxygen your engine can use), your lactate threshold (the fastest pace you can hold for a long time before things fall apart), and your running economy (how little energy it costs you to run at a given pace). All three lift your top end. And here is the part that matters for an ultra runner: your race pace is a fraction of that top end. Raise the ceiling and your all-day effort becomes a SMALLER slice of your max. Same trail, less cost.
Running economy is the sneaky one. When you get more efficient, your slow running gets more efficient too, automatically. So the strides and intervals you do at faster speeds quietly make your shuffle at hour 18 cheaper. There is also good evidence this is not just theory for ultra: in long trail races, VO2max and velocity at VO2max (the speed you hit your VO2max at) show up as real predictors of performance. That is exactly the stuff fast days build.