Isn't Kover supposed to handle these Kotlin edge-cases that Jacoco couldn't? Not sure why it thinks the object line needs testing when I accessed a constant in the object...

Because Kover uses JaCoCo. 😉

🤔 I thought it was Jetbrain's own coverage checker....

Nope, it just runs either JaCoCo or IntelliJ and uses their output. Check the docs.

You're both right; Kover appears to provide a common abstraction over both JaCoCo and the IntelliJ coverage engine, either of which can be selected. The default is IntelliJ engine.