It should transfer any state tax payments to 2021 schedule A, but you should double check and make sure. Unless you are taking the Standard Deduction for 2021 then it doesn't matter. The state taxes paid can be a federal deduction if you itemize.
None of the 2020 federal taxes paid from your original 2020 return or the amended 2020 1040X will go on your 2021 return.
