It all depends on whether "this" refers to the whole sentence itself or not, or to the post... It could also refer simply to itself, like in: "Don't read 'this' !!!" So by reading the post included under the heading I wouldn't be ignoring your request, I just have not to read the last word of your heading.
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The next sentence is false.
The previous sentence is true.
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"appended to its own quotation yields an untruth" append to its own quotation yields an untruth.
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Talking about meaninglessness:
Green dreams sleep furiously.
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Nice thread on absurdities! This one can't miss:
'Twas brillig and the slithy toves
Did gyre and gimble in the wabe;
All mimsy were the borogroves,
And the mome raths outgrabe.
(Carroll, L. "Alice's Adventures in Wonderland" and "Through the looking glass")