Only if you utterly force the idea that Loid has to do it, as opposed to having a planted agent do it. No, the entire premise is just anime drama.
Nah I disagree. At some point both Yor and Loid are going to be asked to do something that burns their fake family bridges and they're going to refuse because that's how this kind of shit always ends and whatever they're asked to do will almost certainly be related to Anya.
---
It says right here in Matthew 16:4 "Jesus doth not need a giant Mecha." https://i.imgur.com/dQgC4kv.jpg