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If the shutdown goes on for several weeks and scrutiny starts to wane, Mr. Allison said, he expects the fundraising routine to resume.

“Once the eye is off of these guys, they’ll go back to raising money,” he said.

Members of Congress also have been criticized for receiving paychecks during the shutdown, a perk not afforded to many federal workers.

The average annual salary for lawmakers is $174,000, though congressional leadership positions such as speaker of the House can pay more than $220,000.

Several lawmakers have said they are refusing their pay until the shutdown ends. A survey by The Washington Post found that, as of Wednesday afternoon, 100 lawmakers — 53 Republicans and 47 Democrats — have said they would either refuse their salary, return it to the government or donate it to charity.

Senate Minority Leader Mitch McConnell, Kentucky Republican, said the shutdown would have a real impact on his constituents.

“I will donate my paycheck to charity for as long as Senate Democrats deprive hardworking Americans of their paychecks during this completely unnecessary shutdown,” he said.

Rep. Suzan K. DelBene, Washington Democrat, said she plans to continue her policy of tying her pay level to that of other government workers.

“When sequestration began earlier this year, I returned 8.2 percent of my salary back to the Treasury, and for the duration of this shutdown, I will return the remainder of my personal salary as well,” she said.

Sen. Ted Cruz of Texas, a possible contender for the Republican presidential nomination who led a 21-hour filibuster leading up to the shutdown, also said he would donate his pay to charity.

The shutdown also hasn’t slowed fundraising for gubernatorial campaigning in Virginia between Democratic candidate Terry McAuliffe and Republican Kenneth T. Cuccinelli II. With Election Day approaching, both have fundraising events scheduled for the coming week.

Some PACs are even using the shutdown and controversy over the president’s health care law as an opportunity to drum up support and cash. Groups on both sides of the aisle have solicited donations for supporting their sides of the arguments.

“The optics of sending an email aren’t as bad as the optics of an open bar with lobbyists,” Mr. Allison said.

Kellan Howell contributed to this report.