Ah, I see what you mean, thank you for elaborating! I don't think that's exactly how it plays out, though - with free port, "anger" will get built up more quickly, so while the "quiet" period will not be affected, you'll get the 2-3 expeditions more quickly, which will mean a higher rate of expeditions over time.
So if say the quiet period is 6 months and it normally takes 6 months for 3 expeditions to play out, but free port cuts that down to 3 months (all numbers 100% made up), then that's 3 expeditions per 9 months instead of per 12, etc.
Ultimately what this means is there's some diminishing returns on on things that build up anger, but they should always have some effect. And since the anger-buildup is halved, the time it takes for those expeditions is longer than in the current version, so there's more impact.