It's cool, but aren't you Picard? I want to be the one saying "Analysis Mr Data" and know that Claude is looking at the problem from a certain, fixed POV. Then I can ask Number One and Worf, my cybersecurity officer.
Then, obviously, you tell them to make it so.
Yea I have debated this before about the roleplaying, but I find it more immersive if I roleplay as a crewmember (Riker) and discuss problems that way.