If it shows your a highly driven, results-getter, high potential individual, it helps. If nothing of the above, not really.
Just not sure how do you plan to act on this information, and that really scares me. Do you plan to stay longer in the startup if you believe that makes you more valuable, is that it?
If that's the case, just don't go that route. The best way to get into consulting is… applying into consulting. I'm seeing too many people who want to be in consulting purposefully avoiding applying and actually becoming less interesting over time, instead of the opposite.