Sorry to say that sounds like complete BULLSHIT.
Unless you are thrashing the car to the driveway, smoking the tyres till you park, 2 mins of turbo timer is MORE than enough. Hell if you drive normally for the last few minutes of your trip, then 30secs is enough. My turbo timer is set to 20sec, and unless i am competing in a motorsport event, i never increase the time and my HKS turbo has never had a problem.
The only other reason of failure, is that the turbo wasn't primed/lubed before starting the engine for the first time, thus causing the bearing to heat up and score, during the initial few seconds
Back to the turbo:
How long did it take till you delivered the turbo, to the time you received the report.
Not saying this has happened, but can you be sure those pics are from your turbo?
Not saying that the company involved is responsible, it could have been an installation issue (refer above about primming), but the turbo company has specified oil contamination, so get the oil tested.