The door on or off only made 1-2dB of difference with my scanner. Raising the antenna made about 4dB difference. I use the Diamond RH77CA with the BNC connector because I switch between base, mobile, and handheld use frequently and it's faster to switch if everything has BNC connectors.
Run my test with your scanner, and post your results. It's the only way to quantify the degree of self-interference, and figure out if the issue is the same for all units, or is a only problem for only a few units, or only affects a certain serial number range. If what you're describing is accurate, the battery door should make more of a difference than it did for me.