The phrase "accepted nonetheless" is correct and usable in written English.
It can be used to indicate that something is acknowledged or accepted despite any reservations or objections.
Example: "The proposal was met with skepticism, but it was accepted nonetheless by the committee."
Alternatives: "accepted regardless" or "acknowledged all the same."
The lore on the production team was that the further away the films got from the car, the worse they got; but it was accepted nonetheless that it wasn't about the car.
The report accepted, nonetheless, that certain "sensitive" information might be worth "enhanced protection"—which would allow the government to make some documents harder, rather than easier, to get.Mr Brown's main objective, however, should be to get the current law working properly.
It is generally accepted, nonetheless, that these terms are synonymous legally.
But as this point was accepted nonetheless, we voted in favour of the report on account of its fundamentally positive thrust.
When people retire they are offered lump sums rather than life annuities which protect against the risk of outliving their savings.The authors accept, nonetheless, that "it has become a 401(k) world".
Lein bluntly informed the clergyman that he was a nonbeliever, but was impressed when the churchman seemed to accept him nonetheless.
I showed it to him and he nonetheless accepted, knowing the numerous problems he would face.
An international jury chose the design, but the French government nonetheless accepted it.
The report was nonetheless accepted by Wal-Mart's leaders as the last word on the matter.
Severely disappointed at not being selected president of the Confederate States of America, he nonetheless accepted appointment by Jefferson Davis to become secretary of state.
Lawyers for Officer Wilson, who this week gave an interview defending his actions, said he had nonetheless accepted he could never work as a police officer again.
