Hi Tim,
Noticed this is you first post. Welcome.
If we run the heater in the winter, we are usually roasting the passengers behind the front seats.
If the air is really coming in the door with inflatable seals, wow. I haven't used inflatable door seals but our heater has always overcome any door leaks so I'm wondering a few things
1. Is the door correctly adjusted? This is a time-consuming iterative process with instructions in the Service Manual. BTW, I don't do this kind of work but others have described it. It is why I have decal-ed the outside of the door and the top of the fuselage with Do Not Lean on Door signs.
2. Is the inflatable seal working as designed?
3. Is the heater performing as designed?
4. Are all the heater ducts connected?
5. Are there other airflows coming into the cabin from the wheel wells or other areas under the floor?
6. Is the door lock mechanism working correctly? We had ours taken apart and lubricated last year - made a huge difference.
Ironically, I'm working on a new heater problem myself
Hopefully one of the above thought is of help to you.