It's sad, and your response is ironic.
Irony includes the disability to see that one is being ironic.
As for the "perverted old man" part, please provide photographs to reinforce that claim.
Sarcasm is the attempt at making a statement with multiple meanings just to see who laughs, who is angry, and who sees nothing odd.
Transposition is a defect in reasoning that puts objects such as words or sentences in the wrong order, either in writing or reading (or their auditory simulants -- speaking or hearing).
"Defect" and "wrong" are examples of strong words that might be tempered by using words such as "characteristic" and "different".
See A above.
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