That chart says nothing about the rate they pay, especially by the top 1 percent.
The chart with rates is found in the very same article.
In any case, we should compare like with like. Your chart expressed proposed tax cuts by share of the total tax cut amount, by quintile. So I posted the equivalent - share of all federal income taxes paid by quintile.
As you can see, the two are fairly similar. In fact, the lower and the middle quintiles are somewhat favored compared to their share of total taxes paid.
So do those people deserve a tax cut?
Ah, that is a horse of a different color. My point was that the tax cut proposal was not out of line with the share of federal income taxes these income groups are paying. I was not making a statement about what should be in the tax cut bill.
For the record, I do think the top quintile (>$165k household income) and especially top 5% (>$315k household income) do not particularly need a tax cut.
I also do think tax cuts should be more general. For example, a tax cuts for bottom four quintiles helps 80% of the people. But Dems of late have favored schemes that only help subsets of taxpayers. When your plans focus on things like increasing the child tax credit, the child free are left holding the bag.