I agree it will deteriorate over time, but I don't see why it should do so any faster than the fluid inside the hydraulic system, unless you leave the lid off the container ? If the lid is airtight, it should live as long as the fluid in the system, so still good for top up - not for replacement, of course.
I'd agree the original statement is somewhat extreme. Brake fluid is so hygroscopic that some pedantic folk will only change it on hot days when the ambient humidity is low. The equipment used in new car production will generally keep the fluid stored under an inert gas, such as dry argon.
I can understand your logic, but I'd still be cautious. An opened container has much more airspace in it than the master reservoir, particularly when there is only a small amount of fluid left in the bottom. And most commercial packaging isn't particularly airtight once the original seal is broken. I'm sure some of you will remember the experience of reopening a tin of paint, and finding what's left has deteriorated beyond hope of useful use.
According to the manufacturers, hydraulic fluid has a life of three years from date of first manufacture, or two years from date of first use, whichever comes first.
The enemy is water, and the corrosion it causes to the steel parts inside the hydraulic system. Once the corrosion inhibitors are overwhelmed, microscopic rust particles form on the steel surfaces, which flake off and are highly abrasive, ruining the seals.
Regular fluid changes make a big difference to the life of hydraulic cylinders and calipers.
Another thing to remember is that the clutch system has to work much harder than the braking one; on a typical journey, you'll press the clutch pedal at least ten times for each time you press the brake pedal. Also, the clutch pistons move the full amount of their travel every time you use it, whereas the brake pistons only move a small fraction of it. On the 500, there's the third whammy of having very little total fluid volume in the clutch system.
Most folks are aware of the advisility of changing the brake fluid, but forget the same considerations apply to the clutch fluid.
Perhaps it's no surprise that we see so many reports of problems with clutch hydraulic systems. Not helped by the location of the bleed; unless you're a visually impaired gynecologist with the joint articulation of a spider monkey, you need to remove the battery and supporting tray to access it, which is a disincentive to changing the fluid regularly.