People keep suggesting this without thinking it through

Many congress members are quite wealthy. They could easily go without their salary at all, for their entire tenure. These people tend to make money off stock trading (at suspiciously high rates, but that's a different discussion), in addition to other investments and "consulting" generating revenue for them

There are, however, at least a few congress members that are not independently wealthy. Those members are actually working class and rely on their salary to live. Those people are the ones that will be squeezed without a paycheck

What do you think the end result of that will be?

The wealthy members of congress will be able to use shutdowns as a bludgeon to force the working class members to vote in line with them. The wealthy can hold out indefinitely. The working class can only hold out until rent is past-due

Long term, I'd expect to see two other knock-on effects. Working class members of congress will be heavily incentivized to start making very good stock picks to have backup income, or more outright corruption. The second effect would be a chilling effect on working class candidates even running for congress

Does that sound like a positive outcome? Are those the incentives you want in congress?