I blame whoever at Bethesda wrote it and also whoever thought that was an acceptable plot point/ending and didn't ask for changes (which I guess is Todd Howard but then again he wasn't the director for FO3). They are so bad at actual logic and RPG design.
Just a reminder, this is only implemented because of a game breaking bug that would occur when you tried to send him in to do the job. I remember because I encountered that bug; I bought the game disk day one and didn't update it until later. You literally had to pick a different option because if you had him do it, he'd be like "sure thing that's a great idea," and then he'd walk in there and flip the switch and then the game would hard crash to desktop.
So i know this is just a joke, but I imagine the simulation limits one's options to those present in the room. If she wants to send someone more likely to survive, like Data, there would be a roadblock:
Not enough time to get there from the bridge
Site to site transporter is down
Spot ate Data's communicator badge
Data is commanding the saucer section in another sector
Data is on Risa hooking up with Sela
Something limits the options to those in the room. Georgi is the most qualified, and time is short
Possibly, but you know who has a history of surviving things that would kill any other crew member and has exhibited at least incredible radiation resistance even in that very same episode?
Also, it's very un-starfleet to consider one member of the crew more irreplaceable or valuable than any other, even if it is true.
Tuvok and Chakatoy encounter each other in the hallway near Holodeck 1.
Tuvok: Commander, I am concerned about the Captain’s continuous holodeck usage. She has not exited the room for the past three hours, and I believe it may be inhibiting the effective operation of the ship.
Chakatoy: It’s been a rough week. I’m sure she’s just blowing off some steam.
Suddenly, they heard muffled noises through the holodeck door.
Tuvix: I have a right to live!
(Excessive machine gun noises)
Chakotay taps his combadge.
Chakotay: Doctor, can you come to holodeck 1? I think something’s wrong with the captain.
i could stand maybe ten seconds tops of a DRD sadly singing 1812 Overture as it died of radiation damage until I'd have to climb into the fuckin condiut myself to save it