We took a trip to the Blue Ridge quite a few years ago when a shutdown loomed (I don't remember if it started and was quickly ended, or if it was avoided.) I looked for alternative locations, and we found a few very nice state parks in the area, which we went to anyway.
My son is an engineer civilian employee of the Navy. When he was furloughed a few years ago, he got back pay when they passed the budget. Sort of like having an extra vacation, just paid after you got back.
Yes, ultimately we get paid for not working, but if the shutdown lasts beyond October 10, then we will only get 1/2 a paycheck on October 14, and if the shutdown lasts beyond October 24, then we will get no paycheck on October 28.
I don't know a lot of people who can make that work without difficulty.
Also, depending on how long a shutdown lasts, you don't get an unemployment rate, consumer price index, or other data for October. The markets will tank, the nation's credit rating might get downgraded and those are things that hurt almost everybody.