Sending a message through a symbolic resolution is horse manure.
The House should cancel all funding for any board with members appointed in direct violation of the Constitution, starting with the Consumer Financial Protection Bureau and the National Labor Relations Board. They should make that non-negotiable with the Senate, and shut down the CFPB and the NLRB. Neither board is useful in general, so it would be no loss, and standing up for the Constitution would strengthen the Congress (which even libs in Congress would like), while reinforcing the rule of law (which I hope libs won't mind too much).
I believe the House has employed this mechanism on several occasions already.
However, the whole budget process has been short-circuited by the Democrat Senate's refusal to pass any budget bills whatsoever.
This leaves the "budget" to the mercy of so-called "baseline budgeting" -- last year's expenditures plus a certain percentage.
As a consequence, agencies like the EPA, the NLRB and CFPB proceed without interruption.
Should the GOP House make an issue of this sad state of affairs? Of course. But, for some reason, they remain silent...