No, actually, the economic definition of a regressive tax is one that is blind to the economic circumstances of the person paying the tax, as opposed to a progressive tax, which people can afford to pay. So the more they can afford to pay, the more they pay.
The GST is a regressive tax. A regressive tax, which my friend John McCallum, the esteemed economist, would surely back me up on, is one that lower-income people pay as a proportionately higher proportion of their income than wealthy people do. That's a regressive tax. The GST is blind to whether you make $100,000 or $10,000 when you buy an article that has GST on it. You pay the same.
Therefore, would you not agree that lowering the GST is actually of more benefit to lower-income people than to higher-income people, which calls into question your statement that it doesn't affect low-income people because they don't buy big items? I'm interested in your response.