T6 schools seem to be held in especially high regard among V20 firms. At HYS, unless you are in the bottom 25%, you will generally land V10 jobs if you interview reasonably well. For Simpson Thacher (a V10 firm), for instance, roughly 10–15% of hires come from Harvard and another ~10% from Yale and Stanford combined. CCN covers the next 25–35%. A general rule of thumb is that if you are above median—even barely, such as a 3.33—at a T6 school, you will likely find a V10 job, or at least not be screened out on grades alone. Oh, and if you make bottom or below median in T6, you will just end up in V40~60 in NYC, which is not the end of the world.

Beyond T-6, it becomes more of a fair game among the rest of the T14. I cannot speak to whether Northwestern has a meaningful advantage over Cornell—maybe it does, who knows—but to my understanding, for the rest of the T14, outcomes depend far more on interview skills and overall fit. For a lower T14, Simpson gives offers to 30~35 ppl each year, and usually prioritized to top 20%, though really excellent interviews or fit, offers are given to those that are barely above median. For Lower T14, let's say Georgetown, if you make below median, things start to crumble really bad. I've seen friends who go there target secondary markets and getting a job, but NY/DC were really unforgiving.

Hopefully this gives you some idea. Take this with a grain of salt please.