It's also interesting that you mention the holistic approach because this is exactly how many people view computers, in the same way they might view a mechanical device. I have seen people reason "If a reboot doesn't fix it , maybe 2 or 3 reboots in quick succession will".
It's also scary how many professional IT people seem to have a cargo cult understanding of computers. I've seen people do all kinds of crazy incantations , for example troubleshooting a network problem by re-installing OS software on multiple workstations and trying different combinations of firewall / AV and network driver software when in fact 5 minutes of methodical probing with wireshark would have made the issue obvious.