I dont know how important the seedings
really turn out to be unless you happen to
get to play early, possibly shaky rounds at
a familiar site (especially if you lost early in
the conf. tourney). I would think that a coach would
desire a good matchup as much as anything.

For instance: I think Texas has a horribly difficult
time against faster guard oriented teams that press.
Bigger teams, that are patient and relatively non aggressive
on D, is the type of team they want, the seed is not
as important. Playing a Big 10 team for Texas is a
good matchup(Minnesota possibly being almost a
hand picked opponent). But if they win, Duke will kill them.
UConn would be a much more desireable opponent even though
still not a good matchup.

But for teams that actually have a chance:

You have to know some of the coaches are very
cognisant of what type of team their personal and style
match up best against. Meeting what might be a less talented
(lower seeded team) team that plays a game that your
team has a difficult time with... ya might not like the draw.
Ya might wish to play a more talented team with a game
your team thrives against.