Yes, this appears true.

I'm okay with it because I've always considered the make, test, and install as different command invocations.  The package building automation I am aware of tends to do the same.  Our buildbots keep the steps separate.

But we need document this requirement somewhere.

I think if we wanted test and install to accurately figure out if they need to redo the profile build and profiling run, we'd need make to detect that _any_ of its possible profile build+run input files are more recent than the last profiling run.  ugh.