In reference to the OP, I am finding that even the laborious way described is not an effective way, inasmuch as there is residual text available for OMNI search.
The better way to delete an OMNI post is twofold:
1. Locate post and click edit. Block all text and delete. Type some sort of replacement text, such as "deleted" (or whatever). Save the changes. Wait a few second. Then
2. Click edit again. This time choose the delete option and proceed as discussed in OP.
This is better because it avoids the residual quoted line left and available for search.
If a person uses deletion method # 1 only, then entries are theoretically available for Google search, though text is not. I.e., your comments themselves will not be available for Google search, but the fact that you posted in a certain thread could be.
OTOH, if a person uses deletion method # 2 only, that process will remove the post from a Google search, but it will still be available through a local OMNI site search. Local search requires signing on. The search results will continue to give the first line of the post, just as before your deletion, but now will no longer give the full post.
The reason I do not recommend the method in OP: Should you use that method alone, i.e., method two, initially, then the post will continue to display in an OMNI search, still with the first line of your text, plus now a garbage can to the right, and there is no way to access the post (which is gone now) in order to delete the quoted first line.
So it is essential to delete all text and save the deletion before actually deleting the post itself.
That is a lesson I learned the hard way, to use a two-step process.
Even then, of course, there will be threads from others who quote your text, and these are also searchable. And there are presumably archives. But this is the best that can be done by the individual poster, SFAIK.
There is always the hope that one day the program bug referred to in the answer to my query on another thread in this forum will be corrected, so that only a one-step deletion procedure would be sufficient for whatever erasing is possible,
http://www.flyertalk.com/forum/showthread.php?t=880125
but the computer bug has evidently been around for at least months now, per that explanation by the link referred to by poster in the other thread.
Trying to help.