Microsoft 365 features that help users manage their subscriptions, account settings, and billing information.
Since the name was changed three years ago, this is unlikely to be a normal synchronization delay.
First, confirm that the correct name appears on your Microsoft account at https://account.microsoft.com/profile. Microsoft explains how the account name is managed here: https://support.microsoft.com/en-us/account-billing/how-to-change-your-user-account-name
On your iPhone/iPad, sign out of your account in Word, Excel and the Microsoft 365 app, completely close the apps, then sign back in. Microsoft’s instructions are here: https://support.microsoft.com/en-us/account-billing/sign-out-of-office
If the old name still appears, go to iOS Settings > Word/Excel/PowerPoint > Reset and enable “Delete Login Credentials,” then reopen the app and sign in again. This clears the old Office account information cached on the device.
After that, create a new comment in a shared document to test it. Existing comments may still retain the author information stored when they were originally created.