It's not an odd question at all! I have an updated version. This network isn't exhaustive however; there are some pairs and/or relationship lines that are missing that I didn't include, either because I don't ship it or I don't have enough of an opinion on them to warrant being on this chart. Or only me and my friends know about them.

Notes:
- Doctor is either nonbinary or fem. Also very ace.

Side rant: A lot has happened in 4+ years. Particularly the way Doctor is written and how certain characters are written around them. "Why is Doctor here then?" you may ask. It's canon discontinuity for me, and I've realized that the only way for me not to gag at Doctor content in the game is if I reconcile their existence by superimposing my own take.

However, in doing so, I refuse to call it a self-insert. That word is so loaded with awful baggage and is a viscerally unpleasant reminder of how some of my faves' writing is ruined for the sake of pandering to the lowest common denominator in order to make the player feel special. At the same time, I'm not depicting "Canon Doctor" either because the "canon" writing around them is so half-baked and poorly-constructed in a failed attempt to appease both self-inserters and people who want an Actual Character. My Doc is not In-Game Buckethead, not a self-insert, but a secret third thing.

If I have any Doctor ship, it's solely with Priestess. Maybe Kal'tsit, but the dynamic has to be very specifically tumultuous. Taking characterization bits that I like (my Doctor design is ripped from the promotional image that looks like a Female Doctor) and discarding the ones I don't. Same goes for every operator who's writing suddenly takes a nosedive whenever Doctor is involved.