I think I know the answer to this before asking it, unfortunately. Since TaskPaper is a text machine that is pretty much based on plain text rules with formatting by style sets and tags, a preview of a TP document in a HoudahSpot preview is pretty much going to look like Bean or any other plain text editor. Put another way, it's going to look terrible, unformulated with margins and tabs all over the place and really ugly to look at.
Is there any way that anyone can suggest where I can get TaskPaper to look like TaskPaper in a preview?
It’s the same way when viewed in a quick look so I am afraid this is a moot question.