I find them annoying because I naturally "have" to read them. So I wind up reading the same-ish paragraph twice (intended?).

It doesn't help that because of the size and margin you actually need to scroll past it rather than it being a more subtle part of the text.

Something like this:

https://blogs.adobe.com/cantrell/files/2012/07/pullquote_reg...

Likely wouldn't bug me because it is impossible (given the context) to assume you're meant to read it. Whereas when you stick it inline but make it bigger it could be either read or not read depending on the author's intent.

This too looks better:

https://www.drupal.org/files/images/better-pullquote-example...

Not inline also and easy to ignore (which might be "bad" depending on the intent of the pull quotes).