Noooot reaaallly....
It's pretty far from apples to apples. For the TSA, for example, they're being asked to continue to come in and work, but are not being paid. These are people making about $40k per year, so savings is probably not huge to float them through months of no pay. They'll get back pay (it seems), but not until the government reopens. In the meantime they're working and missing bills. These are not people who have been fired and are looking for new work while drawing unemployment.
There is an analogous situation that I've seen in real life, where partners at a law firm are asked to go months without pay while the law firm tries to get their accounts receivable right side up. But these are generally people pulling in $300k or more annually, and usually savings is a little bit more substantial (not always though).
The big thing though, is that the government shutdown is totally avoidable and makes it much harder to recruit (for example, for TSA). So if you thought that the TSA employees were bad before this, just wait until the cream of the crop goes and finds another job that won't leave them hanging every other January.
There is another group of government employees who are furloughed. These are people who are not being asked to come to work, and are instead forbidden from working during the government shutdown. Since back pay seems like a foregone conclusion, those people will essentially get extra vacation this year during the shutdown. All they have to do is pay their bills in the meantime, but at least they're not being asked to come in to work, so if they want to sign up with uber or whatever in the interim, that works out. For a government worker who has been furloughed and has enough savings to float, it's pretty much just wonderful. Because they'll get paid for not working.
Big differences in terms of how it hits government employees.