Have you had any fuel related MILs?
The Honda fuel system is set up to maintain fuel pressure in the system. The line from the pump has a check valve in it that doesnt allow back flow and the FPR regulates the pressure in the system. When the car is shut off theoritically the fuel should remain pressurized and in the system because of the check valve and due to the FPR having no vacuum can being closed.
Some results of this leak can be having to crank the car over more to start and fuel related codes such as 45 since the long term fuel trim is being affected.