We did a side-by-side with freeze & squeeze and the Qiagen spin prep
years ago (2002?). It wasn't very rigorous, and it wasn't for
publication, though; just an in-house determination for cost
effectiveness after we rediscovered the technique.
The yield is somewhat down (IIRC, ~20%?), and the product is suitable
for sticky or blunt cloning (all we tried) with minimal cleanup
(precip in EtOH, wash in 70%, dry, redissolve). Some people also used
dialysis disks to clean it up. I don't think there was much
difference. We used this to make constructs for protein preps,
transgenic & knockout mice, in situ hyb, Southerns, etc.
It got to the point people only used the Qiagen kits for really small
chunks (like 50bp) or low DNA amounts (as in, you can barely see it on
the gel).