Blackbird Pie is Twitter’s very own tool for embedding tweets on webpages without the cumbersome, semantics-killing screenshot method. It still lacks the dead-simple interface Twitter is notorious for, since you have to enter the URL of the tweet to grab the embed code and it’s not even built into the system yet, but that’s because it’s a rough prototype at this point.
Since Twitter is an ecosystem of early adopters, it didn’t take long before a bookmarklet surfaced, which sports only a minor difference with the original code in the date format, and seems to display better on this site.
Note that this method inherits your websites styles, which means you may or may not have to tweak your CSS to accommodate it. Unfortunately it still looks bad in feed readers.
Has progress been achieved here?
The question remains: should people go through all this trouble to use tweets as quotes? Is there really that much more to be gained by preserving the tweet “format” over a simple blockquote? I still don’t think so.