No. Filing the extension will not get someone to look at the 2020 amendment. The IRS would not make such a connection. The filing of the extension would have no effect on the processing of your 2020 amended return. Filing an extension will not make it worse.
The IRS will not know why you are extending the filing of your 2021 return. If your 2020 amendment has not been processed by April 18, 2022, filing an extension would be an option for more time to get your 2020 amendment processed. I would think that the 2020 amendment would be processed by October 15, 2022.
