The only situations where Starfleet officers seem to take off their combadges are:
1. Trying to evade sensors due to naughty activities,
2. Trying to evade sensors because malevolent entities have posessed their bodies,
3. There is a high-ranking member of the Klingon High Council who needs murdering, or
4. They need to use it to generate a signal to beam something up or away.
The only situations? What about daily changing of clothes, bathing, sleeping? Do you expect the computer to track Picard while he's sleeping for 8 hours, with his combadge 2.01 meters away on his dresser?
Why not? The computer core is the size of a freaking house, I don't think it's going to have much difficulty keeping track of the locations of its key officers. Hell, for safety sake it should probably monitor their vital signs at all times and sound an alarm in sickbay whenever any of them have a problem.
Wasn't that the intent of the big-ass belt buckles on the TMP uniforms? Weren't they vital sign monitors? I wonder why (in-universe) they were abandoned? Or maybe they were just miniaturized?
How much of a sensor is the combadge? How much would it contribute to the monitoring of lifesigns of the wearer? If the biosigns of the crew are going to be monitored remotely, where are the sensors to do this? In every wall? In every ceiling? There must be some kind of technological limitation to explain why it doesn't seem to be done regularly. Granted, the reason is plot driven - can't have kidnapped officers or rogue crew if they're being tracked continuously. But are we going to accept that alone? All these new "general orders" that chrinFinity
has "issued" are just acknowledgements of the plot-driven nature of the limitations. What are the in-universe
The computer core may be the size of a house, but how much of that is taken up by actual hardware? The few times we saw the computer core, it was a mostly empty hardware access room with a single terminal. And is the size of the core driven by the need to move information at FTL speeds? The computer doesn't have infinite resources, so lets not pretend it does.