Our place is at heart of Europe
The situation before and after Nice is identical. Ireland has, and continues to have, an absolute veto on tax. The professor implies that some member states would use enhanced co-operation in the tax area.
What he doesn't mention is that those states can co-operate on tax at the moment, if they want: enhanced co-operation under Nice gives us the ability to influence their actions. But enhanced co-operation by other states has no effect on our policies. The key point about enhanced co-operation is that member states can opt in or out as they see fit.