Its possible to kill a lot of MVPs with any class as long as you know what you're doing. Notice i said a lot of em. Bio and champ have the biggest burst damage though. The only MVP I can see a Sin X outdamaging a champ on is probably Amon Ra. Twin Fang+Fire Endow+Edp and Amon Ra goes down in like 4 seconds last i checked.
IMO Champs>Bio>Other classes when it comes to mvp'ing. :p
never saw it personally but a friend of mine already did so confirming the 4s statement.
about mvping it really depends of the mvp, bios are mostly hit and run, if you have one vanil you have your own tank, however dont trust it too much. better hit while vanil lasts and run. however this tactic completly fails against bacsojin and arc angeling (and other mobs that heal themselves), if you hit and run, when you come back they already healed the dmg you made, you'll be just wasting ADs
about champs im not sure about their skills and tactics, i dont have one yet. however for what i already saw they're more "forward" than bios, normally i see them rushing towards the mvp, spam asura/gj and the mvp sign coming out...
for ghost types, both classes are useless, one wiz or ME priest does the job better.
And specially refering amon ra, sinx are the best. i talk for my bio but normally when one burst class is sighted near amon, ppl like to mpk you (at least try to make your life harder)

... to be honest i normally leave amon alone if i see campers, theres better mvps out there to hunt as bio/champ
not saying the other classes can't mvp, however for lack of burst attacks only make it harder to do so