I feel like there was a lot left out or skipped with regards to Lin and the Princess's relationship.
Why exactly, would she be so infatuated and in love with him? There's been very limited interaction and opportunity for emotional attachment's to develop. No reasonable amount of relationship building has been seen either. At the very least, not an amount that would warrant thinking fondly of him moments before ending your own fucking life. In fact, it almost makes her seem a bit crazy; as if moments before any of us here were to kill themselves due to a set of terrible circumstances and you were thinking about some random person you found cute who helped you a couple times while they were doing their job. I'm pretty sure there would be a myriad of things taking priority in my thoughts.
Oh well, really I'm just overthinking things. Naturally it's just another opportunity to show how great and desirable Linboi is. Perhaps it's an issue of LN/WN vs. Manhua.