Predicates come from logical/declarative programming languages, like PROLOG. For certain classes of problems, like constraint solving, they are arguably superior to a lot of drawn out step-by-step if-this-do-that-then-do-this crap. Problems that would be long and complex to solve in imperative languages can be done in just a few lines in PROLOG.
There's also the issue of scalable programming (due to the move towards multicore, the web, etc.). If statements and imperative programming in general tend to be in step-by-step order, and not scaleable. Logical declarations and lambda calculus though, describe how a problem can be solved, and what pieces it can be broken down into. As a result, the interpreter/processor executing that code can efficiently break the code into pieces, and distribute it across multiple CPUs/cores/threads/servers.
Definitely not useful everywhere; I'd hate to try writing a device driver with predicates instead of if statements. But yes, I think the main point is probably sound, and worth at least getting familiar with, if not using all the time.