Before GSM went bust, we reset the B767 stab trim to 2 degrees, and the B757 to 4 degrees. Although, looking through the FCOM for both After Landing & Shutdown/Secure procedures, setting stab trim is not a requirement. Maybe it's just a request from maintenance, or if you're multi fleet, it might just be for commonality between checklists.
The full nose down trim in icing was a requirement on the B737. This comes from a Boeing FCOM Bulletin.
LJ