The consumer just cares about the final price. They won't distinguish a price increase caused by taxes from one caused by corpo decisions. So assuming Netflix set their current prices optimally, they will be have to keep them and take the hit.
This is not really true. Sales tax is almost always a tack-on. Netflix can very easily advertise the same prices, and then when sales tax gets added on in your credit card statement they can just throw up their hands and say "the government makes us do this!". At least, that's how I'd see it - I'm paying Netflix X, and I'm paying the government Y. In no way does Netflix "eat" this cost.
Could try and pass legislation to force all companies to only ever advertise after-tax prices, but that's a doozy to enforce.
Sales tax is always regressive. The only ones who are paying it is the consumer.