During "partial panel" flying, in what ways is a turn rate indicator more useful than a turn coordinator?
A turn coordinator's axis of rotation is tilted around 30 degrees and rotates in the opposite direction. Because of this, looping errror is reversed and it under-reads at more than 1g. This makes it essentially useless when recovering from an unusual attitude on instruments, which is one situation in which you can easily find yourself when flying partial-panel.

With a turn rate indicator the instrument will over-read when the pilot is pulling excess G's in a turn; all the pilot has to do is relax the backpressure on the stick or yoke to correct.