LTS to LTS Upgrade

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How do I upgrade to a newer version of Ubuntu?

Has this:

If you choose to upgrade before then, you can pass the -d option to
the upgrade tool, running do-release-upgrade -d or update-manager -d,
to upgrade from vanilla 10.04 to 12.04.

Am I correct in assuming that if I am actually running 10.04.4 (not vanilla?) that the above command line instructions would NOT work? I really do not mind waiting for the GUI Update Manager to show me the availability at 12.04.1 in July. I am just curious.