Thats why I don't consider most of Wierd alls songs parodies at all.

Just a way to remove the original crap lyrics and add something funny/ much better to them.

That isn't satire.

The word parody gets thrown around way too often in my opinion.

Airplane is a satire of all the disaster movies around the time.

I disagree. If a movie is just making most of its jokes unrelated to the source material then its not a very good parody. You can't run an entire movie based only on satire jokes yes, but there is a limit to at which point its just unrelated.