The phrase "are nonetheless important" is correct and usable in written English.
It can be used to emphasize that something remains significant despite other factors or circumstances.
Example: "Even with the challenges we face, the contributions of our volunteers are nonetheless important to the success of our project."
Alternatives: "are still significant" or "remain essential".
"Though the relationship with Sri Lanka is not as cosy as it could be and there are strong domestic dimensions, there is a general recognition in government that both the relationship and the meeting, are nonetheless important".
They command some of the nation's largest energy companies, control banks and much of the news media, and, increasingly, have a footprint in smaller sectors, like book publishing, that are nonetheless important to Mr. Putin's political control.
But if the arguments seem predictable, they are nonetheless important, partly because it is impossible to formulate a general rule of cinematic accuracy, and partly because we are inundated with stories claiming to be true and theories proclaiming that truth does not exist.
Other headaches, although generally much less common, are nonetheless important as they may be symptoms of underlying disorders that threaten health and well being.
Class II ambers, although apparently less abundant than class I ambers on a global scale, are nonetheless important constituents of sedimentary organic matter in several regions; SE Asia and Central and SE North America in particular.
But if the notion of free decision itself is now of merely antiquarian interest, accounts of free decision are nonetheless important for the insight they provide into their authors' understanding of human action and freedom, issues of perennial philosophical concern.
Thus, E2F regulation of PCNA is dispensable for viability, but is nonetheless important for normal Drosophila development.
Though a magazine cover is only a small component in the marketing of the film, Harvey Weinstein, co-chairman of Miramax Films, said it was nonetheless important.
Mr. Macron and his economists contend it is nonetheless important to reduce the tax because the tranche is sliced off those accumulating capital.
But it is nonetheless important to understand that we were a generation living in fear, and fear makes people do terrible things.
