The stimulus payment issues would not impact your 2020 refund. The IRS did not start processing or accepting 2020 tax return till 2/12/21. If you received a message before 2/12/21 it was accepted, your return passed all the internal checks at TurboTax but you return was not submitted to the IRS until the 2/12/21 date. Based on that, those return filed with the initial 2/12/21 date when the IRS just started processing return, would just now start seeing the amounts hit their accounts.
If you claimed earned income tax credit or additional child tax credit on your return, your refund will be delayed possibly till March. This from the IRS.gov website: Most earned income tax credit or advanced child tax credit related refunds should be available in taxpayer bank accounts or on debit cards by the first week of March, if they choose direct deposit and there are no other issues with their tax return.
