By two-sided I assume you mean stereo? And “After hooking things up and getting the soundbar powered up,” I further guess the soundbar requires power? …which makes it an amplified speaker. So any comparisons made between the passive BC20 and the soundbar are moot. It’s like comparing the BC20, a passive speaker, to the BC23, the amplified version of the BC20.
The SDS100 has only one audio output jack, designed for headphones, ear buds or Bluetooth. If the radio did not have a lower maximum volume level at the headphone jack we could damage our hearing if we forget to reduce the volume level first. Uniden decided on previous models that was unacceptable out of concern for our safety. (I’m sure the liability issues were also a driving factor.) So they have “dummied down” the max volume level available at this external jack. Don’t think of this jack as an external speaker jack, rather it is a headphone, earbud jack.
The SDS200 however, has two audio output jacks, one on the front panel and another on the rear. The front one is a reduced max volume level like you have on your SDS100, and again, deliberately designed that way to protect our hearing. The rear jack is not dummied down, designed for external speakers, passive or amplified. (It would have been nice if the SDS100 had both but it doesn’t.)
I run both a passive external speaker and the amplified BC23 with my SDS100, depending upon the environment. If it’s a noisy area, I need the amplification. But with the passive, non-amplified BC20, I did not experience the distortion you mention.
With previous models such as the BCD396XT, where Uniden started to incorporate hearing protection, you could short out the ground on the headphone jack with the antenna ground and get full volume capabilities (two differing ground levels). I used a small gauge wire hammered flat to fit were the ground connection and the jack connections are and got full volume out of the jack. But that doesn’t work with current versions of their scanners, they changed how they reduced the level of audio at the headphone jack.
But alls well that ends well… glad to hear you have solved you problem.