I was looking at the same thing... was considering changing over payroll to QB but I thought the whole point was to be able to integrate with TSheets and allocate out time/payroll based on program (classes).  From an accounting perspective I'm not sure what the T-sheets integration does (other than for hourly employees)?   I'm surprised this hasn't been addressed- with my current third party payroll provider, they do payroll and time, and have reports that allocate time based on payroll.  Surprised this hasn't been integrated in TSheets/QBO.