Yes, the GST is also a consumption-based tax. A lot of the uproar--including from a number of my fellow and sister economists--that cutting the GST was bad because it's a consumption tax and consumption taxes are good, so we should cut income taxes, was overlooking the fact that the personal side, not the corporate side but the personal income tax side, is very much consumption-based at progressive rates. The GST, of course, is consumption-based at a flat rate, which works out to be a regressive pattern.
So one could certainly argue that cutting the GST was no better and no worse than cutting the PIT, the personal income tax, but was actually better than cutting the personal income tax in terms of its distribution over various income classes. In other words, cutting a regressive tax, like the GST, would be a progressive move.