What I can tell you; I ran a 100 pound tank with an 15k BTU Infrared Heater all last week during the Sub Zero weather, on my days off I ran a Kerosene Torpedo heater to get it above 45 degrees F. There was an inch of frost on the doors and windows showing all the air leaks. When the weather warmed up on the past weekend, I switched over to electric heat and running a dehumidifier 24hrs a day. It showed over 80% for 2 days, then it dropped to 70% for 2 more days, this morning it was down to 55%.
So yes running the dehumidifier while running any non-vented heat will make a difference.
In My Opinion of Course!