If you do decide to do that, I hope I haven't increased your workload too much with this comment.😅 And I noticed this because I was playing on "badass/evil" path. And it didn't seem in character for mc to talk about his watch so carelessly. Maybe on the "good" path it won't be so out of character. But yeah, on my playthrough, it did seem jarring.
Hope you can find a way to make this decision seem more reasonable/believable and give some kind of inner thought process, even if u do end up making this an optional choice.