Would it be possible to replace some steps of this paper that perform elliptic curve pairing inversion with a polynomial time universal Miller inversion algorithm?

Everything is in the title and in https://drive.google.com/file/d/1SXS1h-6Tywdj9_1XlMRhrS0piHl7DrLG/view?usp=drivesdk. My point is if it s possible even if it makes the whole process more complex.

Or am I correct that no steps can be made related to such method?