I call the opposite, it is extremely easy to detect and track their orbits, a single personal computer can probably track them all and calculate the potential strike point over points in orbits.
Any attempt to deviate from an existing low earth orbit is extremely energy intensive. It also can't strike anywhere - it can be more than 24 hours before its in position over the location it wants to be.
The orbital period for low Earth orbit is closer to 1 hour than 24, and you further reduce that to only a dozen or so minutes by spacing out rods over the orbit... Much like starlink satellites.
Keep in mind an orbit does not cover all of the Earth surface. And unless the target is on the equator, there is no low earth orbit that can maintain it's path over a target consistently.
But for detection, Is that actually easy? I don't know much about it, would it be done optically, or is there a better way? Are there concealment strategies? How about say painting the satellite black?
Using starship to launch rods that immediately come down on people instead of loitering in space sounds like a much safer use.