I'm not sure if this would fall under a matter of opinion or not, I don't expect there to be a specific golden rule that must be followed.
I'm curious on when it's appropriate/best to use the "blockquote". The other formatting tools available are easy to understand and most likely are better used from what I've seen.
In most cases that I've seen "blockquote" used is for quoting a large text from a document, however, I've also seen it used to quote an error obtained when running a script. More so I've notice the latter method presented using code samples.
This question arose when I edited a question where the OP had his error listed as a normal text, so I went ahead and edited (along with other parts of the questions) into "code sample". Shortly after, another person, edited the same error using "blockqutoe"
So it really comes down to what's the case that makes it more presentable when asking or answering questions.