What kills a turbo quickly, and can seize the shaft almost instantly is a lack of oil supply, and as your oil supply is custom made for a BB core it may be insufficient. Ball bearing turbo's require only a little oil, at lower pressure, while the bush core I assume you have now will need a higher unrestricted flow. Do you know if there is a restrictor in the oil line?
The easiest way to check the turbo is getting enough oil flow is to drop the drain hose off the bottom of the turbo and run a hose to a jar or similar, measuring the oil flow in a minute or so. Ask Stao for an approximate flow level. He is generally very helpful when it comes to fixing issues, you should discuss it with him first I think. There is no chance you could bugger the tolerances to produce that much lag, there would have to be 1/2 an inch gap between the turbine and it's housing.
If the turbo is now bush cored, the shaft will have a little in-out movement, and side to side. The oil is what centres the shaft, it should never touch the bush.