Everybody's favorite Motor Oil Geek recommends pouring a quart of new oil through the system after draining the old whenever you're changing from one brand to another to help get some of the old oil flushed out of the pan. I did this when I changed to AMSOIL Signature Series from the OEM fill on the Honda. I'm undecided whether I'll be doing it in a couple of weeks when I switch from AMSOIL Signature Series to HPL Premium Plus PCMO. An oil and filter change requires 5.8 quarts, and I have four cases of HPL. If I use a quart as a flush, I'm going to be short a quart for a long, long time (unless I order more).
FYI, the UOA after the switch showed some Honda oil was still in the system and mixed with the Amsoil, anyway. A little AMSOIL Signature Series mixed with HPL Premium Plus PCMO should be okay for a 5k OCI or so.