I hope I got this straight. There are actually people claiming that news are spun in a literal washing machine, and the amount of those is big enough to raise a concern (to be honest, even a single one is a concern). Do you have any sources for this? Absolutely incredible. I wonder what temperature and what detergent is used when spinning news in a washing machine.
This is exactly why Snopes is a valuable resource, in my opinion. People today can't be bothered to think critically so they just accept things because it fits their pre-decided narrative.
Yes, there are people--not many people, but some, on both sides of the political aisle--who will knee-jerk repost anything that sounds like it might make their opponents look bad. Most of the time, I hope, it's because they skimmed the headline and got emotional before reading the details or thinking critically. But it undeniably happens.
How so? If there are people out there who believe it enough to ask about it and post on their forums, then it's not as clear of satire as you're making it out to be and there's motivation for them to cover it.