What browser are you using and which add-ons do you use to block Twitter?
For example I use Firefox with both AdBlockPlus and NoScript.
I can see all the comments in the link below;
However, interestingly Twitter is not blocked by NoScript in my Firefox but I've just tested it and when I forbade Twitter, not only did I lose those comments, but I also lost the first post I was typing in reply to your post.
I had to allow Twitter to see the comments and to make this reply.
This seems to be user choice. Since I am here at CNET continuously I have told NoScript to allow all scripts here, otherwise I will be missing some options.
Article comments do not load if twitter.com scripts are blocked, as of this afternoon (1/31).