Revert "Prevent saving mutated grad inputs in AOT min-cut (#185876)"

This reverts commit 2557cb8b1efb746f5418ebb3e6e670134e5ab527.

Reverted https://github.com/pytorch/pytorch/pull/185876 on behalf of https://github.com/jeanschmidt due to Breaks internal signals, see D117152835 ([comment](https://github.com/pytorch/pytorch/pull/185876#issuecomment-5395754958))