No, you are all right.
You had an excess HSA contribution on your 2022 return, and you contacted your HSA custodian to have that amount removed before April 15, 2023, right? And you asked to remove the excess in early 2023, right?
So it is normal that the 1099-SA would not arrive until late 2023 or early 2024. You have several tax consequences:
On your 2022 return:
1. If the excess was due to employer contributions, then TurboTax automatically added it back to income on Schedule 1 (1040) on line 8f.
2. If the excess was due to your personal contributions, then the deduction on line 13 on Schedule 1 (1040) is reduced automatically by that amount.
3. The earnings on the excess that you will owe tax on will not be due until your 2023 tax return - the one you are doing now in early 2024.
In short, TurboTax automatically adjusted your Schedule 1 (1040) on your 2022 return, and the 1099-SA for the withdrawal of the excess should be entered on your 2023 return. Everything is OK.