In addition to having more information -- you can measure (very approximately!) how good candidates are, rather than merely being able to rank them against each other (as in the Secretary Problem) -- the payoffs are different. For actual hiring, having the second-best out of 100 secretaries is still pretty good; while for the purposes of the Secretary Problem having the second-best out of 100 secretaries is just as bad as having the worst secretary.
There is some connection to real world hiring practices, but only if you abstract away enough: The solution to the Secretary Problem basically comes down to
1. Spend some time gathering information which will let you assess how strong future candidates are.
2. Use that information to help you decide whom to hire.
In some cases step 1 is solved by interviewing many candidates in parallel; but in most cases companies adjust their thresholds for what "good enough" is over time based on their observations of incoming candidates. They might very well reject a candidate early on and then regret that decision later once they realize that she was exceptional compared to a disappointingly weak candidate pool.