Interesting. Have you tested with a battery powered radio instead of a plugged in one?
I've got a DS4024 that I hadn't noticed issues with so I pulled out my SA, slapped on a 2 foot telescoping antenna, and swept through the FM bands and I don't really see a difference with it on or off. It's a handheld unit and was on battery power, but perhaps there's conducted EMI that I'm not seeing because of that.
In any case, it's a product that had to go through the same EMI compliance testing as a lot of it, and it really sounds like yours would not pass in its current condition. It's probably not worth the time, but it could be interesting to look at the power supply module, for example, to see if it had some failing caps or something that were dumping a lot more noise out than it ought to.