Well there is a discussion about TI versus the C there going on in the comment under the video, the author offers some tips on making the TI version sound more like the C. He also has a soundbank mentioned here
at this link that he says is for all the Virus line, maybe you could use a sound there as a starting point. But notice in particular what he says about the importance of outboard equipment and even the mic he used in that video.
Sorry I can't do much better than that, without hearing your version and his side by side preferably going through the same signal path.