Hello,
MBBs have a minimum threshold that you need to clear globally. This threshold would cover soft skills (presence, case leadership), hard skills (quant, business acumen) and your fit.
After clearing this level however, I would say that there is a certain level of demand/supply that can either help you or go against you depending on the office that you apply. E.g. There might be 10 excellent candidates for the NYC office but the office can only absorb 4. This pushes the bar a bit higher to get through.
Hope this clarifies!
All the best!
Rushabh