E.g. the case of the warm and cold chicken being taxed at different rates, as described in the linked Economist article.
It's common in places with such a distinction in the tax code for some stores to sell packaged cold food clearly intended to be eaten on the go, and then to conveniently offer a customer-operated microwave on-site partly as a way to avoid paying a tax that distinguishes between food sold as groceries v.s. take-away food.
I'm not advocating for flat taxes, but it is correct to say that such proposals in general do away with such emergent absurdities, and decrease the need for government bureaucracy.
The complexity of the formula generating the lookup table doesn't affect the users of the lookup table, so I disagree: number of brackets has no meaningful effect on complexity of manual preparation.