No, a sales tax is applied to the purchase by the vendor. In this case, the SP is required to charge the client and then remit the tax to the government. I doubt that you yourself have ever made a retail sales tax directly to the government. How can you possibly suggest that the client is the one responsible to remit the tax?I think it is actually a legal requirement to do that, isn't it?
In reality, the fee charged by an SP should already include the tax, and she should make her quarterly remittance to the tax office. Consumers do not remit this tax directly. If you, the service provider, do not charge the tax, you are violating tax law, just like a contractor who works for cash. The penalty falls on you, not your client. I generally find that people who brag about paying no tax to be self absorbed and obnoxious. Oh yes, and enjoy your "free" health care...