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One of the purposes of socialised medicine is to ensure that everybody gets access to healthcare regardless of their income. It equalises service, not input. A 1% tax on someone earning $20k a year, whilst it is mathematically less than a 1% tax on someone earning $200k a year, has a far greater impact on that person's finances: they're the ones on the breadline; the ones struggling to put food on their family's table and the ones with the least capacity to borrow in times of trouble. The lower the earnings, the less surplus there is to tax.
Taking larger contributions from people who are earning larger incomes goes some way to equalising the impact of the cost of healthcare. If you equalise the contributons by some kind of flat tax approach, then you are taking from the wealthy man's surplus and the poor man's food cupboard.
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