Some (most?) ASIO drivers are only available as 32-bit drivers, and you'd have to use the 32-bit version of Media Center to use those ASIO drivers. You can't use 32-bit drivers in 64-bit apps like the 64-bit version of Media Center on Windows.
So if the ASIO drivers are 32-bit only, you'll have to use the 32-bit version of Media Center to use them. I'd double check your MC23 install, if it's actually 64-bit it shouldn't work either if the 64-bit version of MC25 doesn't, so it might be a 32-bit install.
Think about it, there's not many 64-bit media player apps available like JRiver Media Center. foobar2000 is still 32-bit, Windows Media Player is 32-bit, Winamp is 32-bit, MediaMonkey is 32-bit, etc. so it doesn't make sense to some manufacturers to provide 64-bit ASIO drivers, though some do. I guess I lucked out in my case, because my Schiit USB DAC does provide 64-bit ASIO drivers which work in the 64-bit version of JRiver Media Center.