In the spinoff, the part that became Agilent should have stayed "Hewlett-Packard." Because you're right, Agilent and its spinoffs are the true inheritors of what Dave and Bill built.
The part that stayed HP should have been renamed "HP Computing" or some BS corporate acronym ("HPC"??)
The part that stayed HP should have been renamed "HP Computing" or some BS corporate acronym ("HPC"??)