You have a choice, yes, a rollover is a reportable event. Your 1099R should have a code G in box 7. You are correct that it will not affect your income or tax due, however the amount will show on your return with the words ROLLOVER next to it.
You can choose not to amend, but because the IRS will also receive a copy of the 1099R, the IRS might send a notice with correction, if any. OR, if you want to avoid a possibility of an IRS notice, amend even if it doesn't affect your tax return.
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