There may well be a one-way valve effect in the dampener/regulator on the later motors. The diaphram works against a spring that sets up a back presssure. And I think you are thinking down the right path. If you have a leak, as maybe in the cold start valve solenoid, the back pressure is lost and it might take a few more turns of the pump to fully pressurize the fuel lines.
I have notice occasionally when I let the car rest for a few weeks, it takes a little longer for the pump to reach full pressure. It is maybe 2 seconds where you can hear the frequency of the pump whine change as the pump brings the pressure up. It could also be the pump is overcoming stiction/friction after sitting for weeks.
When mine is daily driven, I don't hear the pump free wheeling with no back pressure at starts. And usually, I can go for maybe a week or more before noticing change in pitch. I'm also saying I have noticed it and now wait often to hear the pump and get that satisfying feeling that it should ignite instantainiously.
When I have had some delay in ignition, it has been due to my misadjustment of the idle or warm up device. When the system is setup correctly, its a joy to have the motor start like a new car. Conversely, when something isn't right, it is a really downer to have it turn and turn with ought starting.