That's what I figured. My approach in the past has always been to clear the debt as fast as possible and own it outright. The residual approach sounds like a perpetual "lease", and it doesn't appeal.
Thanks for that @sen8or, it's good to have a sense-check of these things.
At this stage, I'm inclined to go back and suggest a fairly radical counter-offer. The worst they can do is say no, and I have other options if they do say no.