I am working at a company that has twice had to cut pay across the board, once in 2009-2012(ish I don't remember exactly when it ended), and then we had to cut pay again in March of this year, and that is still on going, however has been structured differently.
The tricky thing with across the board pay cuts is, that the folks that you want to stay have more incentive to now leave than the folks you, wouldn't mind as much they move on. Your top performers know their worth, and if their talents are still in demand elsewhere they may very well leave you. Where as folks whos skills are not as in high of demand won't have the options in the job market and will be forced to stay.
During the 2009 paycuts, my company had whole production teams leaving in departments that had the highest demand because there was work for them. So they went to competitors that were offering full pay for similar work, so we were losing the folks we needed most as we were not paying market rate for them anymore. Other departments had people standing around as there was no work at our company or elsewhere so they stayed put, there was some work but not 40 hours worth. That being said, there were folks that could have moved on that did stay as they believed in the company and what they were doing, so its not guaranteed folks will leave, but it is sure harder to get them to stay.
Our company is only 2000 people so no where near the same scale as Disney, and I am glad we did paycuts in 2009 as I'm sure without those I wouldn't still be with the company (Paycuts were not enough in 2009 and we did have layoffs but they were much less than they would have been otherwise).
This time around they have restructured the paycuts a bit to make it so that doesn't happen again (Hourly workers just lost hours, salaried got cuts, now work levels are picking up so the hourly folks are mostly back at full pay, salaried folks still have cuts however and is expected to last at least another 6 months, but no one really knows).
I would expect Disney did look at across the board paycuts, but they would likely have to last years as the business climate for them is not going to get better any time soon. So is it better for Disney to cut 28,000 jobs or ask 223,000 people to take cuts for years? Both options suck, and there isn't an easy answer, at least in my mind.