This is disingenuous though. The debt ceiling is about paying for spending that was already budgeted for. The spending has happened.
If the Republican-controlled House wants to reduce spending, they can do that during budget talks. That would be an appropriate time. And it's their Constitutional power.
What they are doing now is using the threat of default to try to get spending concessions. So they are trying to reduce spending, but the debt ceiling is not coupled to it. It just happens to be a piece of leverage they currently have. This entire thing is in bad faith.