PageRank, for example, works great when everyone searching for "skiing near Tahoe" is looking for the same popular pages. But when you're doing legal research, a lower-court case that directly addresses your issue but isn't widely cited is much more valuable than a highly-cited Supreme Court case that doesn't address your issue.
This is true where you are doing fine-grained research, but there are plenty of lawyers who are constantly delving into new areas of law that are adjacent to or tangential to their primary area of interest or practice. When this happens, it can be phenomenally useful to get up to speed on the area of law by seeing which decisions have the highest PageRank, or PageRank weighted by certain factors, etc.
In this way, one way to think about the startup that implements a PageRank algorithm is that it is not disrupting electronic legal research, but rather disrupting legal textbooks. In my experience, the fastest way to get abreast of a new field is to find the leading textbook. One could imagine a sophisticated database which could altogether remove the need to consult a textbook by painting a picture of the leading cases, key pieces of legislation, which sections are most often referred by which cases in which context, etc.