So you want to incentivize it, but not with an incentive worth running? Then what's the point?

Looking at other roulettes, there's a pattern.
Low level: contains dungeons required to progress
High level: contains dungeons required to progress
MSQ: contains dungeons required to progress
trials: contains trials required to progress
guidlhests: contains guildhests required to progress

Is there any other compromise you can throw out besides roulette? I can get people seeing it being fun for them (though majority...? arguable, let's just leave that), but it's not really what roulettes were for.

And is this about irrelevant content in general, or a few people on a crusade about CT? There's plenty of irrelevant content now. All the coils, all ex primals. Those get done plenty for glamour/story/pony, and allowing unsynched really breathed some life into them. Why is unsynched not enough? That's really the uncompromising part. You don't seem to have any reason why not, except that it's not what you'd prefer. It would solve the problem easily. CT has glamours/minions/story to incentivize it already, which is as much as any of the other old content (which people often run unsyched) has.