While I can't answer the question completely or with any great authority, I can say (in part due to the clarification you provided - thanks for that!) there might be a difference in residual sugars. The largest difference between strains that attenuate very highly from those that do not is the yeast's ability to ferment di- and trisaccharides (flocculation characteristics being the other major player, but that doesn't exactly seem relevant here). It is my understanding, though I may be wrong on this matter, that yeast tend to ferment the monosaccharides first before moving on to the more complex sugars, which take extra work as they need to be further broken down (which takes enzymes and/or other compounds that the yeast must produce, some strains being better able to produce these compounds). So depending upon where in the process of fermentation everything is halted, there may be a difference in the amount of complex sugars.
I would have to think this would affect flavor. The larger sugars are not as sweet as simpler ones, but they still generally register as vaguely sweet, I believe (even lactose is somewhat sweet, I understand, and that is too complex to be fermentable by sacc.). I believe the more complex sugars also aid in the perception of body.
The other matter to consider is that if fermentation is halted (say by crash cooling) partway through the process, the yeast will not go through their usual routine of preparing for hibernation, so to speak. This process includes all kinds of chemical reactions that affect flavor, like cleanup of diacetyl and other compounds created during the earlier phases of fermentation. By not going through this cleanup process, esters and other compounds may remain at levels they otherwise would not, had fermentation takes its more typical course.
That's not much, but I'm pretty confident all that is correct. I hope it's helpful for your thought experiment. It is an interesting question. I suppose a lot of it comes down to why the more attenuative strain did not achieve its usual level of fermentation, and at what point it stopped. I certainly can't speak to all the variables that might affect this process, unfortunately. I'll have to keep up to see if anyone else has more to add.