I don't have the old Tamron 17-50, but i do have the tamron 28-75.
So yes, if I compare the tamron 28-75 to this new 17-50/2.8 version II with built in motor, the AF is slower. But i have also played with the sigma 18-50 2.8 briefly and i'd that is slower than the tamron 28-75.
If you ask me, both the sigma 18-50 and tamron 17-50 with built in motor are of the same speed from memory, very roughly. If you say from turn to turn of coz the difference is significant. But from experience in real life, that difference usually is padded down by pre-focusing and the way you shoot. For eg, i have a 30mm f1.4 and trust me below f2 and 3m distance you would not want to mess with anything without pre-focusing and shooting anything without good contrast.
That said, i have used the tamron 28-75 for about 100 weddings and though fast, the slight misfocused pix number about 10-20% for each wedding. (ie moderate to low light). In fact this made me change my shooting style by changing to 30/1.4 and 12-24/4.
From my brief usage last night on the exact same body (just a D70) with about 300 test shots, it seems that the focusing accuracy is pretty good....there is still hunting since the light source is only a 40W florescent light in my living room, but the accuracy is good with regular objects more than 1m away at f2.8.
If i measurebate with less than 50cm away and f2.8, there is perhaps slight front focusing for about 30-50% of the shots but that can't be helped since without calibration you'll also get this with Nikon lenses. (anyway i do MF for my macro shots as the parallex error with focusing with the sensitive centre AF point and moving later is quite great, and the side AF points are not that sensitive under low light and with shots like the ring, I shoot with D70/D200 only).
For just 500 over bucks, good usability wide open and good 17-50 range, cannot hiam lar.

My prime 30/1.4 is not that sharp wide open neither but definitely usable up to S8R.
Actually i am selling the lens asap this few days as my wife secretly bought it for me behind my back while shopping in HK (i wasn't that interested, too many lenses and not keen to lose any of them to pickpockets in weddings - yes it happens!). I've put up an ad in B/S, but if nobody wants i'll use it for 2 weddings this Sat and Sunday and report back more for real life usage. My view is that there is a difference between measurbating and shooting real objects and one needs to distinguish that.