It’s not about whether the audience will understand the context right then right there but that they have a very accessible means to do so. By linking a tweet for a thread , the entire thread can be viewed from beginning to end. Far more contexts than a quote for a blog without a hyperlink.
Anyone can take anything out of context for anything , even if the context is right there in front of everyone faces. The best approach is to have the best accessible means of finding the context and Twitter does that far better than any blog.
"Can be" - yes, technically it can. "Will be" - in most cases it won't, because it's not what the interface is built for and it requires significant additional effort. It's not that it just could be taken out of context, it's that the whole system is optimized for short messages, so taking out of context is the default and preferred mode of operation. It's like owning a gun that by default is always aimed at your foot.
And, no, it's not better, than any blog - having encountered both for years, I can say it's not only "better", it's hugely worse. Tweets are quoted out of context in almost 100% of cases, and in many cases Twitter site actively hinders acquiring context - e.g. by demanding to use an app or log in or such. Even when it doesn't happen, the interface requires effort to acquire context - you need to click around to find the start of the thread and to browse around and to filter unrelated chatter.
Blogs never do that. With a blog, you get the post in one place, comments in different place, and it is optimized for seeing the whole post, not a disjoint bag of random short messages that Twitter is optimized for.
Anyone can take anything out of context for anything , even if the context is right there in front of everyone faces. The best approach is to have the best accessible means of finding the context and Twitter does that far better than any blog.