Sherlock, just so you know, I liked the idea so much myself that I actually slid it into my novelization. I feel like there needs to be a little bit more there than Rey fatally wounding Kylo for her to consider abandoning everything and going to Exegol. If she does the same thing that she does with Chewie except with Finn, it would be a really convincing reason for her to believe that she thinks she needs to abandon the fight before she completely loses control of herself.
Also, and I mentioned this before, but it gives Finn’s presence a purpose there. Before, he’s just there to scream “Rey!” If this were implemented, he would be the catalyst that causes her outburst.