I assume such a tax would replace the local state based sales taxes?
Having said that when I was in the US, it was very frustrating to never know how much something would cost me based on the advertised price.
Probably not. Government's aren't keen on reducing tax.
Your initial point's thinking isn't evolved enough: in Europe the # I have heard, however I haven't confirm - it does however align with my own understanding, is that 55% of the VAT tax is paid for by a company's profits; companies have to maintain being competitive by not transferring 100% of the tax to consumers, e.g. companies will compete based on how much profit margin they're giving themselves.
I'm not sure how Andrew Yang at least will implement the VAT - it will be 10% VAT vs. Europe's 20% - which will maintain competitiveness with Europe. Likewise, Yang doesn't think income tax is a good idea because he believes you should incentivize and not penalize people who are actually working; tax people who are consuming.
And agreed, there is indeed a planned confusion - psychological trick - that occurs, manipulates people - when something is priced at say $9.97 - where people tend towards not calculating the final price that includes tax, and it otherwise requires people to unnecessarily use mental energy to do calculations if the person wants to stay very price conscious.