Just a very small thing:
When we search for students, I've found that entering the first few letters of both the first and last names will usually bring up the right student at the top of the list of results. It's a very handy feature of that search function.
When I'm searching for staff, entering part of both the first and last name yields no results. It's fine to find them by only one name, because I'm searching among less than 100 instead of up to 2000. The issue is just that we have to learn a slightly different process for every little circumstance - in this case even the exact same search bar behaves differently depending which list it's asked to search in.
So the impact of this precise issue is very small, but the principle of making the behaviour consistent across the site is really helpful in making the user experience smoother and more satisfying.