About all the swept analyzer is going to show you is occupied bandwidth from a modulation point of view. If you've an HD system running, they're essential for setting it up.
As far as using one to see 'what it sounds like' which is, after all, what you're trying to do, I'd go with the suggestions of the gurus here: Mark 1 Mod 1 earball. That is, after all, probably what your listeners are using.
When the RF plant and studios were co-located, I always covered the mod meters, or turned them off when the program types were doing the 'processing setup' listening. I used to tell them, when you can find me a listener who has a mod monitor and a diary, we'll readdress that technique; but until then, let's set it up by listening to it. The good ones understand, and the bad ones don't last anyway.