Clue: "On a bus route" is not remotely the same as "downtown near dozens of bus routes".
The Statesman reports that the ACLU and LULAC have complained about the location of the new municipal court. They're exactly right. The idea that Capital Metro is going to move any non-trivial bus routes is, as it was with the new library location, wishful thinking from suburban drivers who have no idea how much transit agencies rightfully loathe the idea of introducing a little jog into any long and heavily used bus route.
A bus line runs next to the St. Johns site, and the city will work with Capital Metro if other routes need to be added, McDonald said.
Sure, they will. They'll ask Capital Metro, and Capital Metro will dutifully say "we'll look into it", and then they'll do nothing, because diverting one of the useful north/south routes all the way over to I-35 would lose a big chunk of their existing riders, and starting a new route just for the court would be a disaster.
MJ Kellogg also covered this at Metroblogging Austin a few days back. Sorry I missed linking from here.
I'm especially disappointed in councilmember Cole - I would expect her to know better than to claim that being next to a couple of the crosstown bus routes (which are execrable - slow and low-frequency) on St. John's is enough to get the transit-dependent to court. We're talking multiple transfers to get there for most people - while the downtown location requires only one bus ride for a large number of the transit-dependent, and is served with high frequency.
Existing location here, thanks to Google transit. Click on the little bus icons to see what routes are within a few blocks of the court. Hint: low numbers mean frequent service. Now try the new location. Click on the little buses. Notice how all the route are in the 300 range? That means they run infrequently, and don't go downtown.