No. Once again a little knowledge prevents you from seeing the entire picture. And leads you to a misreading:
In 1767, to help the East India Company compete with smuggled Dutch tea, Parliament passed the Indemnity Act, which lowered the tax on tea consumed in Great Britain, and gave the East India Company a refund of the 25% duty on tea that was re-exported to the colonies.[11] To help offset this loss of government revenue, Parliament also passed the Townshend Revenue Act of 1767, which levied new taxes, including one on tea, in the colonies.[12] Instead of solving the smuggling problem, however, the Townshend duties renewed a controversy about Parliament's right to tax the colonies.
Boston Tea Party - Wikipedia, the free encyclopedia
This why we were taxed, so it plays a role in the objection. However, as stated in the articles, the objection was about fairness, specifically about being taxed without representation (we have represntation today). As the tea party can't possibly be protesting because they are not represented, which would easily be shown false, we should dig further into history, or their lack of understanding of that history. You show your misunderstanding rather clearly.