Am I completely invested, to a fundamental level, in the possible and imaginary relationship between two fictional characters?
Yes, yes I am, and I don't mind it.
Do I spend a ridiculous amount of time on seeking out content of said characters, instead of being a productive member of society and doing productive things like a productive person should?
Yes to this as well.
And lastly but not least, do I obsess over the smallest things in a canon storyline, that could be changed or slipped in simply by the mistake of an artist or editor in some office building?
Yep.
If you can fall in love with a ship, that's what's happened to me.