I want to know where you got this idea that taxes on consumption tend to be progressive. It's almost certainly regressive, unless you exempt the right mix of basic goods.
What counts as "consumption"? A poor person spends most eir money on rent, food, possibly car, and possibly cigarettes and booze.
A rich person invests a bunch, buys several million dollar houses, hires maids and gardeners to clean these houses, buys some cars, new electronics, and probably eats out a lot and goes to high-end concerts and travels the world.
A rich person spends a far higher percentage on capital goods and on employing people and only a small percentage on consumables. Also, you can't really tax consumption while traveling. The best you can do is tax the transportation, and tax rich tourists who come _here_