A resolution to withdraw the Department of Labor’s controversial anti-union “persuader” rule was approved by a House committee last week, despite its slim chances of making it to President Barack Obama’s desk.

Rep. Bradley Byrne’s (R-AL) resolution, which gained public support from the pro-employer Coalition for a Democratic Workplace earlier this month, was approved by the Committee on Education and the Workforce in a 21-10 vote on Wednesday. The persuader rule, which was finalized by the DOL in March, received backlash from healthcare organizations for its “significant ambiguities and burdens.”

“The invasive and costly requirements under this new rule will severely limit the ability of small businesses in Alabama and across the country to get the legal advice they need and deserve,” Byrne said during a markup session on the resolution.

Despite support from employer organizations the resolution is “largely symbolic” and is unlikely to overcome a Senate filibuster, Bloomberg BNA reported.  If it did, President Obama would most likely veto the resolution.

The rule still may be blocked or at least set back by legal challenges against it, including some already pending in Minnesota, Arkansas and Texas, according to Bloomberg.