Most domestic FWD manual transaxles I've worked on in the last few decades haven't used pilot bearings (which is a small bearing that is pressed into the end of the crankshaft). The manufacturers have worked around this requirement by using larger front input shaft bearings to handle the increased side loading on the input shaft.
I can't say for certain what long-term affect double-clutching will have if you did it on every shift, but I can say GM doesn't design and require it on their new fully synchronized manual transmissions. We can play a game of "what if" though.
What if you double-clutch and it slightly prolonged synchronizer life so they might last 250k miles instead of 200k miles, but the increased wear on the clutch release components like the throw-out (release) bearing being used twice as much causes that bearing to wear down more, the clutch disc eventually doesn't fully release, and that causes way more severe, way faster internal trans damage? Or engaging and disengaging the clutch twice as much causes more wear on the crankshaft's internal thrust bearing, which counteracts the side loads placed on the crankshaft by the clutch mechanism. I doubt it would be a problem on the Cruze's engines but some other older engines from other automakers would have problems with "crank walk" where that bearing wears down and allows the crankshaft to start moving sideways.
There's probably a lot of scenarios and I haven't torn into any of these transaxles to see what they look like at really high mileage and what their common failure mode and wear items will be. I'd still suggest shifting normally, be gentle and not slam gear changes, and if you do race the car on a track maybe use double-clutch for multi-gear downshifts.
By the way, not sure what you mean by "dual clutch manual" transmissions. I'm not sure if you might be getting confused by how the word clutch is being used. When someone says "double-clutch" they're using the word clutch as a verb to describing and action of pushing the clutch pedal twice. In a dual-clutch automatic transmission the word clutch is a noun and describing the actual physical part, of which means two separate clutch discs/packs (i.e. the actual friction material assembly).
There are dual-clutch automatics which have similarities to a manual trans but have two physically different clutches, with one clutch or clutch pack connected to half the gears in the trans and the other clutch connected to the other half. It's difficult to describe in text but you can search on the internet for some nice visual schematics.