The world does have, rightly or wrongly, "process engineers" who use metrics to modify and optimize processes, physical or business. Just look at how widely the attempts to employ Six Sigma have been.
That said, being able to measure something isn't sufficient; one also needs the control to modify the thing being measured in a way that has deterministic effects on the metrics. GP's metrics have that feedback loop with respect to software, which pushes it towards engineering. Process engineers have that feedback loop, even on business processes. Your manager does not; most of their actions do not create deterministic results.
That said, being able to measure something isn't sufficient; one also needs the control to modify the thing being measured in a way that has deterministic effects on the metrics. GP's metrics have that feedback loop with respect to software, which pushes it towards engineering. Process engineers have that feedback loop, even on business processes. Your manager does not; most of their actions do not create deterministic results.