I think you can certainly run out the clock. I would simply point out that there's an interesting facet here. If you recall, in the last Parliament efforts to shut down the justice committee around another controversy were seen by the government as a means of getting out of a problem.
Ultimately, I would submit to you that it maybe didn't work out that well. Those of us who are in academia were saying that you may want to simply let these committees go. If there is no problem here, show it, get it over with and don't try to obfuscate, because it can have a blowback effect. Ultimately, I would submit to you that it did. It resulted in the government being reduced to a minority of seats or a plurality of seats in the House of Commons.
These efforts can ultimately come back to haunt governments if they're not careful, including around committees, so they may gather more attention than we realize.