What, exactly, is the distinction? If tax rates do not increase, there is no mechanism for someone to pay more taxes to the government unless they earn more money. You can say that someone would indirectly pay more taxes to the government through corporate tax rates and the like but the typical American doesn't see this as a "tax" and it's very disingenuous for Republicans to try to spin possible indirect tax increases as direct tax increases.
A person can pay more in taxes at the same tax rate if they lose the ability to deduct. Or they can pay more in sales taxes if prices go up. Maybe Crapo isn't talking about that though, I don't know. I'd be interested in knowing what he was claiming, but I only have this 16 second gotcha clip put out by the Democrats courtesy of the OP. I tried to look up the press conference myself but searching "IRA", "finance", and "republicans" gave me something completely different.