Those hours with a TRI in the RHS don't count I am afraid towards PIC time.
When they put adverts out for 500 hour PIC DEC's they mean hours logged post Command course with a normal run of the mill line FO sitting beside you.
That is unless of course the TRI is rostered as a FO with no training requirments and doesn't log PIC time, you sign the tech log etc etc as per flying with a normal line FO.