i think i would just prefer for them to fix the current bugs in the link feature (as in fix the paragraphs issue you mentioned - you used to be able to use html in the text fields but that got ruined in the site update). i've got a ton of links (over 100) that are styled with the old way (as in just two dialogue boxes) and i would want the "redo" to be able to carry over these old links so i don't have to re-write an absurd amount all over again.
this is a cute idea though! maybe it would work as a new feature? also i think it might be helpful to draw a mockup of what you mean since i'm struggling to parse the design! (i could totally be misinterpreting what you're talking about haha). i like the idea of getting to pick an avatar, and i hope we also get to pick the order our links are displayed in! (they used to be alphabetical and are now in order of when you linked the characters, from oldest to most recent).
alternatively the stuff you're suggesting could just be optional add-ons to links? as in you'd have to turn them on/off first? also i'd prefer for there to be completely custom fields instead of forcing people to write about type of relationship or current status... what i really like about toyhouse is how it doesn't force anything like that on you and lets you completely pick what you want to talk about with your ocs!
oh god this is long IM SORRY