It's some sort of thing now to put distortion of some description on a synth, Arturia's "Brute Factor" being a great example of how it can really go too far (I'm so sure that thing has shortened the life of the channel it lives on).
I used to run my MS-20 through a Boss Turbo Distortion with great results, including removing a good amount of bottom-end and sounding like a guitar. Sounds a bit like what you are describing.
Problem is: there's overdrive, and then there's distortion. Overdrive is perfectly fine, if the knee behaves in a manner that allows you to subtly roll in additional effect to taste.
Unfortunately, that's not the way the Monologue does things: at 8:30 on the DRIVE knob, it starts to get quite crisp (but only at the top end). There is no middle ground.
Compare this to the overdrive that occurs when the oscillator levels are set beyond 2:00, which works reasonably well.
Frankly, I've already listed it up on the local Craigslist, but I'm willing to give it another day or two to see how it plays out. The Korg
artiste complex, as it relates to synthesizer product design, is wearing me thin*–if only for the fact that they get so very close to hitting it out of the park on some of the products, then implement a feature in a catastrophically stupid manner for who knows
what reason....
In other words–if I felt like hacking the Mini-/Monologue products to bits, I'm sure I could resolve most of the sonic problems, but only up to a certain point. How very frustrating!
* - though I did spend an hour on the Pro-2 in protest.