Originally posted by Imp how about DA* vs. HD 55-300 in AF speed?
Not a direct answer to this question, but in this detailed comparison the (screw-driven) 55-300 was significantly better than the SDM DA*60-250:
HD Pentax-DA 55-300mm F4-5.8 ED WR Review - Autofocus vs DA* 60-250 | PentaxForums.com Reviews
Looking at the detail of this comparison, the two lenses performed about the same when shooting a person running at right angles to the camera (what is called "parallel"). On each of the other tests (person running towards the camera, frisbee flying at right angles to the camera and frisbee flying towards the camera), the 55-300 did much better.
Screw-driven AF isn't necessarily slow - the noise makes it seem slow.
The body matters for a screw-driven lens. I find my 55-300 and Sigma 400 are both noticeably faster and quieter on the K-3 than on the K-30.